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Finding the Fourth Proportional to 3,562.29, 5,343.03 and 965.07

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Solution

The fourth proportional to 3,562.29, 5,343.03 and 965.07 is: 1,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.29 : 5,343.03 = 965.07 : x
  2. Step 2: Convert to fraction form
    3,562.29/5,343.03 = 965.07/x
  3. Step 3: Cross multiply
    3,562.29x = 5,343.03 × 965.07
  4. Step 4: Simplify right side
    3,562.29x = 5,156,397.96
  5. Step 5: Solve for x
    x = 5,156,397.96/3,562.29
  6. Step 6: Final answer
    x = 1,447.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,563.29, 5,344.53 and 966.07
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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.