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Finding the Fourth Proportional to 24,575.84, 36,864.88 and 7,048.16

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Solution

The fourth proportional to 24,575.84, 36,864.88 and 7,048.16 is: 10,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.84 : 36,864.88 = 7,048.16 : x
  2. Step 2: Convert to fraction form
    24,575.84/36,864.88 = 7,048.16/x
  3. Step 3: Cross multiply
    24,575.84x = 36,864.88 × 7,048.16
  4. Step 4: Simplify right side
    24,575.84x = 259,829,572.62
  5. Step 5: Solve for x
    x = 259,829,572.62/24,575.84
  6. Step 6: Final answer
    x = 10,572.56

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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.