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Finding the Fourth Proportional to 10,593.98, 14,576.52 and 9,719.18

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Solution

The fourth proportional to 10,593.98, 14,576.52 and 9,719.18 is: 13,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.98 : 14,576.52 = 9,719.18 : x
  2. Step 2: Convert to fraction form
    10,593.98/14,576.52 = 9,719.18/x
  3. Step 3: Cross multiply
    10,593.98x = 14,576.52 × 9,719.18
  4. Step 4: Simplify right side
    10,593.98x = 141,671,821.65
  5. Step 5: Solve for x
    x = 141,671,821.65/10,593.98
  6. Step 6: Final answer
    x = 13,372.86

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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.