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Finding the Fourth Proportional to 24,353.47, 36,527.02 and 7,713.64

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Solution

The fourth proportional to 24,353.47, 36,527.02 and 7,713.64 is: 11,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,353.47 : 36,527.02 = 7,713.64 : x
  2. Step 2: Convert to fraction form
    24,353.47/36,527.02 = 7,713.64/x
  3. Step 3: Cross multiply
    24,353.47x = 36,527.02 × 7,713.64
  4. Step 4: Simplify right side
    24,353.47x = 281,756,308.93
  5. Step 5: Solve for x
    x = 281,756,308.93/24,353.47
  6. Step 6: Final answer
    x = 11,569.45

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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.