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Finding the Fourth Proportional to 10,593, 14,566.50 and 9,193.32

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Solution

The fourth proportional to 10,593, 14,566.50 and 9,193.32 is: 12,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593 : 14,566.50 = 9,193.32 : x
  2. Step 2: Convert to fraction form
    10,593/14,566.50 = 9,193.32/x
  3. Step 3: Cross multiply
    10,593x = 14,566.50 × 9,193.32
  4. Step 4: Simplify right side
    10,593x = 133,914,495.78
  5. Step 5: Solve for x
    x = 133,914,495.78/10,593
  6. Step 6: Final answer
    x = 12,641.79

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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.