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Finding the Fourth Proportional to 24,927.54, 37,398.59 and 7,397.82

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Solution

The fourth proportional to 24,927.54, 37,398.59 and 7,397.82 is: 11,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.54 : 37,398.59 = 7,397.82 : x
  2. Step 2: Convert to fraction form
    24,927.54/37,398.59 = 7,397.82/x
  3. Step 3: Cross multiply
    24,927.54x = 37,398.59 × 7,397.82
  4. Step 4: Simplify right side
    24,927.54x = 276,668,037.07
  5. Step 5: Solve for x
    x = 276,668,037.07/24,927.54
  6. Step 6: Final answer
    x = 11,098.89

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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.