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Finding the Fourth Proportional to 9,057.60, 13,586.40 and 6,278.40

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Solution

The fourth proportional to 9,057.60, 13,586.40 and 6,278.40 is: 9,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.60 : 13,586.40 = 6,278.40 : x
  2. Step 2: Convert to fraction form
    9,057.60/13,586.40 = 6,278.40/x
  3. Step 3: Cross multiply
    9,057.60x = 13,586.40 × 6,278.40
  4. Step 4: Simplify right side
    9,057.60x = 85,300,853.76
  5. Step 5: Solve for x
    x = 85,300,853.76/9,057.60
  6. Step 6: Final answer
    x = 9,417.60

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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.