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Finding the Fourth Proportional to 7,624.62, 10,513.62 and 4,967.10

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Solution

The fourth proportional to 7,624.62, 10,513.62 and 4,967.10 is: 6,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.62 : 10,513.62 = 4,967.10 : x
  2. Step 2: Convert to fraction form
    7,624.62/10,513.62 = 4,967.10/x
  3. Step 3: Cross multiply
    7,624.62x = 10,513.62 × 4,967.10
  4. Step 4: Simplify right side
    7,624.62x = 52,222,201.90
  5. Step 5: Solve for x
    x = 52,222,201.90/7,624.62
  6. Step 6: Final answer
    x = 6,849.15

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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.