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Finding the Fourth Proportional to 10,657.60, 16,003.20 and 6,278.40

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Solution

The fourth proportional to 10,657.60, 16,003.20 and 6,278.40 is: 9,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.60 : 16,003.20 = 6,278.40 : x
  2. Step 2: Convert to fraction form
    10,657.60/16,003.20 = 6,278.40/x
  3. Step 3: Cross multiply
    10,657.60x = 16,003.20 × 6,278.40
  4. Step 4: Simplify right side
    10,657.60x = 100,474,490.88
  5. Step 5: Solve for x
    x = 100,474,490.88/10,657.60
  6. Step 6: Final answer
    x = 9,427.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.