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Finding the Fourth Proportional to 15,777.60, 23,657.40 and 5,917.20

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Solution

The fourth proportional to 15,777.60, 23,657.40 and 5,917.20 is: 8,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.60 : 23,657.40 = 5,917.20 : x
  2. Step 2: Convert to fraction form
    15,777.60/23,657.40 = 5,917.20/x
  3. Step 3: Cross multiply
    15,777.60x = 23,657.40 × 5,917.20
  4. Step 4: Simplify right side
    15,777.60x = 139,985,567.28
  5. Step 5: Solve for x
    x = 139,985,567.28/15,777.60
  6. Step 6: Final answer
    x = 8,872.42

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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.