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Finding the Fourth Proportional to 9,675.80, 13,353.15 and 7,281.47

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Solution

The fourth proportional to 9,675.80, 13,353.15 and 7,281.47 is: 10,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.80 : 13,353.15 = 7,281.47 : x
  2. Step 2: Convert to fraction form
    9,675.80/13,353.15 = 7,281.47/x
  3. Step 3: Cross multiply
    9,675.80x = 13,353.15 × 7,281.47
  4. Step 4: Simplify right side
    9,675.80x = 97,230,530.79
  5. Step 5: Solve for x
    x = 97,230,530.79/9,675.80
  6. Step 6: Final answer
    x = 10,048.83

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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.