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Finding the Fourth Proportional to 10,690, 14,752.20 and 6,497.44

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Solution

The fourth proportional to 10,690, 14,752.20 and 6,497.44 is: 8,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690 : 14,752.20 = 6,497.44 : x
  2. Step 2: Convert to fraction form
    10,690/14,752.20 = 6,497.44/x
  3. Step 3: Cross multiply
    10,690x = 14,752.20 × 6,497.44
  4. Step 4: Simplify right side
    10,690x = 95,851,534.37
  5. Step 5: Solve for x
    x = 95,851,534.37/10,690
  6. Step 6: Final answer
    x = 8,966.47

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Double scale
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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.