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Finding the Fourth Proportional to 10,659, 14,709.12 and 6,182.46

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Solution

The fourth proportional to 10,659, 14,709.12 and 6,182.46 is: 8,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659 : 14,709.12 = 6,182.46 : x
  2. Step 2: Convert to fraction form
    10,659/14,709.12 = 6,182.46/x
  3. Step 3: Cross multiply
    10,659x = 14,709.12 × 6,182.46
  4. Step 4: Simplify right side
    10,659x = 90,938,546.04
  5. Step 5: Solve for x
    x = 90,938,546.04/10,659
  6. Step 6: Final answer
    x = 8,531.62

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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.