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Finding the Fourth Proportional to 8,472.25, 11,691.84 and 4,746.25

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Solution

The fourth proportional to 8,472.25, 11,691.84 and 4,746.25 is: 6,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.25 : 11,691.84 = 4,746.25 : x
  2. Step 2: Convert to fraction form
    8,472.25/11,691.84 = 4,746.25/x
  3. Step 3: Cross multiply
    8,472.25x = 11,691.84 × 4,746.25
  4. Step 4: Simplify right side
    8,472.25x = 55,492,395.60
  5. Step 5: Solve for x
    x = 55,492,395.60/8,472.25
  6. Step 6: Final answer
    x = 6,549.90

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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.