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Finding the Fourth Proportional to 10,182.76, 14,060.77 and 7,660.49

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Solution

The fourth proportional to 10,182.76, 14,060.77 and 7,660.49 is: 10,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.76 : 14,060.77 = 7,660.49 : x
  2. Step 2: Convert to fraction form
    10,182.76/14,060.77 = 7,660.49/x
  3. Step 3: Cross multiply
    10,182.76x = 14,060.77 × 7,660.49
  4. Step 4: Simplify right side
    10,182.76x = 107,712,387.98
  5. Step 5: Solve for x
    x = 107,712,387.98/10,182.76
  6. Step 6: Final answer
    x = 10,577.92

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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.