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Finding the Fourth Proportional to 10,475.60, 14,454.65 and 6,702.08

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Solution

The fourth proportional to 10,475.60, 14,454.65 and 6,702.08 is: 9,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.60 : 14,454.65 = 6,702.08 : x
  2. Step 2: Convert to fraction form
    10,475.60/14,454.65 = 6,702.08/x
  3. Step 3: Cross multiply
    10,475.60x = 14,454.65 × 6,702.08
  4. Step 4: Simplify right side
    10,475.60x = 96,876,165.15
  5. Step 5: Solve for x
    x = 96,876,165.15/10,475.60
  6. Step 6: Final answer
    x = 9,247.80

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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.