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Finding the Fourth Proportional to 9,763.67, 13,473.88 and 5,287.46

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Solution

The fourth proportional to 9,763.67, 13,473.88 and 5,287.46 is: 7,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.67 : 13,473.88 = 5,287.46 : x
  2. Step 2: Convert to fraction form
    9,763.67/13,473.88 = 5,287.46/x
  3. Step 3: Cross multiply
    9,763.67x = 13,473.88 × 5,287.46
  4. Step 4: Simplify right side
    9,763.67x = 71,242,601.54
  5. Step 5: Solve for x
    x = 71,242,601.54/9,763.67
  6. Step 6: Final answer
    x = 7,296.70

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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.