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Finding the Fourth Proportional to 10,657.68, 14,702.44 and 8,283.56

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Solution

The fourth proportional to 10,657.68, 14,702.44 and 8,283.56 is: 11,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.68 : 14,702.44 = 8,283.56 : x
  2. Step 2: Convert to fraction form
    10,657.68/14,702.44 = 8,283.56/x
  3. Step 3: Cross multiply
    10,657.68x = 14,702.44 × 8,283.56
  4. Step 4: Simplify right side
    10,657.68x = 121,788,543.89
  5. Step 5: Solve for x
    x = 121,788,543.89/10,657.68
  6. Step 6: Final answer
    x = 11,427.30

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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.