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Finding the Fourth Proportional to 34,641.43, 51,962.16 and 8,346.16

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Solution

The fourth proportional to 34,641.43, 51,962.16 and 8,346.16 is: 12,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.43 : 51,962.16 = 8,346.16 : x
  2. Step 2: Convert to fraction form
    34,641.43/51,962.16 = 8,346.16/x
  3. Step 3: Cross multiply
    34,641.43x = 51,962.16 × 8,346.16
  4. Step 4: Simplify right side
    34,641.43x = 433,684,501.31
  5. Step 5: Solve for x
    x = 433,684,501.31/34,641.43
  6. Step 6: Final answer
    x = 12,519.24

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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.