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Finding the Fourth Proportional to 9,980.04, 13,772.20 and 5,503.73

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Solution

The fourth proportional to 9,980.04, 13,772.20 and 5,503.73 is: 7,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.04 : 13,772.20 = 5,503.73 : x
  2. Step 2: Convert to fraction form
    9,980.04/13,772.20 = 5,503.73/x
  3. Step 3: Cross multiply
    9,980.04x = 13,772.20 × 5,503.73
  4. Step 4: Simplify right side
    9,980.04x = 75,798,470.31
  5. Step 5: Solve for x
    x = 75,798,470.31/9,980.04
  6. Step 6: Final answer
    x = 7,595.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.