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Finding the Fourth Proportional to 9,148.97, 12,624.45 and 6,495.41

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Solution

The fourth proportional to 9,148.97, 12,624.45 and 6,495.41 is: 8,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.97 : 12,624.45 = 6,495.41 : x
  2. Step 2: Convert to fraction form
    9,148.97/12,624.45 = 6,495.41/x
  3. Step 3: Cross multiply
    9,148.97x = 12,624.45 × 6,495.41
  4. Step 4: Simplify right side
    9,148.97x = 82,000,978.77
  5. Step 5: Solve for x
    x = 82,000,978.77/9,148.97
  6. Step 6: Final answer
    x = 8,962.86

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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.