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Finding the Fourth Proportional to 10,658.64, 14,714.22 and 8,263.20

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Solution

The fourth proportional to 10,658.64, 14,714.22 and 8,263.20 is: 11,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.64 : 14,714.22 = 8,263.20 : x
  2. Step 2: Convert to fraction form
    10,658.64/14,714.22 = 8,263.20/x
  3. Step 3: Cross multiply
    10,658.64x = 14,714.22 × 8,263.20
  4. Step 4: Simplify right side
    10,658.64x = 121,586,542.70
  5. Step 5: Solve for x
    x = 121,586,542.70/10,658.64
  6. Step 6: Final answer
    x = 11,407.32

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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.