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Finding the Fourth Proportional to 12,657.08, 17,463.78 and 7,348.74

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Solution

The fourth proportional to 12,657.08, 17,463.78 and 7,348.74 is: 10,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.08 : 17,463.78 = 7,348.74 : x
  2. Step 2: Convert to fraction form
    12,657.08/17,463.78 = 7,348.74/x
  3. Step 3: Cross multiply
    12,657.08x = 17,463.78 × 7,348.74
  4. Step 4: Simplify right side
    12,657.08x = 128,336,778.64
  5. Step 5: Solve for x
    x = 128,336,778.64/12,657.08
  6. Step 6: Final answer
    x = 10,139.53

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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.