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Finding the Fourth Proportional to 10,657.17, 14,713.11 and 7,076.97

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Solution

The fourth proportional to 10,657.17, 14,713.11 and 7,076.97 is: 9,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.17 : 14,713.11 = 7,076.97 : x
  2. Step 2: Convert to fraction form
    10,657.17/14,713.11 = 7,076.97/x
  3. Step 3: Cross multiply
    10,657.17x = 14,713.11 × 7,076.97
  4. Step 4: Simplify right side
    10,657.17x = 104,124,238.08
  5. Step 5: Solve for x
    x = 104,124,238.08/10,657.17
  6. Step 6: Final answer
    x = 9,770.35

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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.