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Finding the Fourth Proportional to 6,142.29, 9,213.44 and 1,525.29

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Solution

The fourth proportional to 6,142.29, 9,213.44 and 1,525.29 is: 2,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.29 : 9,213.44 = 1,525.29 : x
  2. Step 2: Convert to fraction form
    6,142.29/9,213.44 = 1,525.29/x
  3. Step 3: Cross multiply
    6,142.29x = 9,213.44 × 1,525.29
  4. Step 4: Simplify right side
    6,142.29x = 14,053,155.92
  5. Step 5: Solve for x
    x = 14,053,155.92/6,142.29
  6. Step 6: Final answer
    x = 2,287.93

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Half scale
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Double scale
Find fourth proportional to 6,143.29, 9,214.94 and 1,526.29
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.