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Finding the Fourth Proportional to 10,097.88, 15,123.31 and 9,747.56

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Solution

The fourth proportional to 10,097.88, 15,123.31 and 9,747.56 is: 14,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.88 : 15,123.31 = 9,747.56 : x
  2. Step 2: Convert to fraction form
    10,097.88/15,123.31 = 9,747.56/x
  3. Step 3: Cross multiply
    10,097.88x = 15,123.31 × 9,747.56
  4. Step 4: Simplify right side
    10,097.88x = 147,415,271.64
  5. Step 5: Solve for x
    x = 147,415,271.64/10,097.88
  6. Step 6: Final answer
    x = 14,598.64

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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.