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Finding the Fourth Proportional to 9,248.91, 12,748.52 and 7,228.80

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Solution

The fourth proportional to 9,248.91, 12,748.52 and 7,228.80 is: 9,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.91 : 12,748.52 = 7,228.80 : x
  2. Step 2: Convert to fraction form
    9,248.91/12,748.52 = 7,228.80/x
  3. Step 3: Cross multiply
    9,248.91x = 12,748.52 × 7,228.80
  4. Step 4: Simplify right side
    9,248.91x = 92,156,465.23
  5. Step 5: Solve for x
    x = 92,156,465.23/9,248.91
  6. Step 6: Final answer
    x = 9,964.04

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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.