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Finding the Fourth Proportional to 5,115.48, 7,683.48 and 4,947.36

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Solution

The fourth proportional to 5,115.48, 7,683.48 and 4,947.36 is: 7,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.48 : 7,683.48 = 4,947.36 : x
  2. Step 2: Convert to fraction form
    5,115.48/7,683.48 = 4,947.36/x
  3. Step 3: Cross multiply
    5,115.48x = 7,683.48 × 4,947.36
  4. Step 4: Simplify right side
    5,115.48x = 38,012,941.61
  5. Step 5: Solve for x
    x = 38,012,941.61/5,115.48
  6. Step 6: Final answer
    x = 7,430.96

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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.