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Finding the Fourth Proportional to 9,974.48, 14,898.58 and 7,760.15

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Solution

The fourth proportional to 9,974.48, 14,898.58 and 7,760.15 is: 11,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.48 : 14,898.58 = 7,760.15 : x
  2. Step 2: Convert to fraction form
    9,974.48/14,898.58 = 7,760.15/x
  3. Step 3: Cross multiply
    9,974.48x = 14,898.58 × 7,760.15
  4. Step 4: Simplify right side
    9,974.48x = 115,615,102.29
  5. Step 5: Solve for x
    x = 115,615,102.29/9,974.48
  6. Step 6: Final answer
    x = 11,591.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.