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Finding the Fourth Proportional to 6,152.46, 8,490.38 and 3,463.46

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Solution

The fourth proportional to 6,152.46, 8,490.38 and 3,463.46 is: 4,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.46 : 8,490.38 = 3,463.46 : x
  2. Step 2: Convert to fraction form
    6,152.46/8,490.38 = 3,463.46/x
  3. Step 3: Cross multiply
    6,152.46x = 8,490.38 × 3,463.46
  4. Step 4: Simplify right side
    6,152.46x = 29,406,091.51
  5. Step 5: Solve for x
    x = 29,406,091.51/6,152.46
  6. Step 6: Final answer
    x = 4,779.57

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.