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Finding the Fourth Proportional to 37,648.80, 56,462.40 and 11,347.20

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Solution

The fourth proportional to 37,648.80, 56,462.40 and 11,347.20 is: 17,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.80 : 56,462.40 = 11,347.20 : x
  2. Step 2: Convert to fraction form
    37,648.80/56,462.40 = 11,347.20/x
  3. Step 3: Cross multiply
    37,648.80x = 56,462.40 × 11,347.20
  4. Step 4: Simplify right side
    37,648.80x = 640,690,145.28
  5. Step 5: Solve for x
    x = 640,690,145.28/37,648.80
  6. Step 6: Final answer
    x = 17,017.54

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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.