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Finding the Fourth Proportional to 10,097.84, 15,123.36 and 9,747.65

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Solution

The fourth proportional to 10,097.84, 15,123.36 and 9,747.65 is: 14,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.84 : 15,123.36 = 9,747.65 : x
  2. Step 2: Convert to fraction form
    10,097.84/15,123.36 = 9,747.65/x
  3. Step 3: Cross multiply
    10,097.84x = 15,123.36 × 9,747.65
  4. Step 4: Simplify right side
    10,097.84x = 147,417,220.10
  5. Step 5: Solve for x
    x = 147,417,220.10/10,097.84
  6. Step 6: Final answer
    x = 14,598.89

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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.