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Finding the Fourth Proportional to 7,057.60, 10,586.80 and 2,377.20

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Solution

The fourth proportional to 7,057.60, 10,586.80 and 2,377.20 is: 3,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.60 : 10,586.80 = 2,377.20 : x
  2. Step 2: Convert to fraction form
    7,057.60/10,586.80 = 2,377.20/x
  3. Step 3: Cross multiply
    7,057.60x = 10,586.80 × 2,377.20
  4. Step 4: Simplify right side
    7,057.60x = 25,166,940.96
  5. Step 5: Solve for x
    x = 25,166,940.96/7,057.60
  6. Step 6: Final answer
    x = 3,565.93

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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.