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Finding the Fourth Proportional to 5,365.80, 8,047.80 and 1,470.24

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Solution

The fourth proportional to 5,365.80, 8,047.80 and 1,470.24 is: 2,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.80 : 8,047.80 = 1,470.24 : x
  2. Step 2: Convert to fraction form
    5,365.80/8,047.80 = 1,470.24/x
  3. Step 3: Cross multiply
    5,365.80x = 8,047.80 × 1,470.24
  4. Step 4: Simplify right side
    5,365.80x = 11,832,197.47
  5. Step 5: Solve for x
    x = 11,832,197.47/5,365.80
  6. Step 6: Final answer
    x = 2,205.11

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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.