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Finding the Fourth Proportional to 9,524, 13,148.88 and 6,217.76

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Solution

The fourth proportional to 9,524, 13,148.88 and 6,217.76 is: 8,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524 : 13,148.88 = 6,217.76 : x
  2. Step 2: Convert to fraction form
    9,524/13,148.88 = 6,217.76/x
  3. Step 3: Cross multiply
    9,524x = 13,148.88 × 6,217.76
  4. Step 4: Simplify right side
    9,524x = 81,756,580.11
  5. Step 5: Solve for x
    x = 81,756,580.11/9,524
  6. Step 6: Final answer
    x = 8,584.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.