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Finding the Fourth Proportional to 10,281.56, 15,430.97 and 9,633.56

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Solution

The fourth proportional to 10,281.56, 15,430.97 and 9,633.56 is: 14,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.56 : 15,430.97 = 9,633.56 : x
  2. Step 2: Convert to fraction form
    10,281.56/15,430.97 = 9,633.56/x
  3. Step 3: Cross multiply
    10,281.56x = 15,430.97 × 9,633.56
  4. Step 4: Simplify right side
    10,281.56x = 148,655,122.28
  5. Step 5: Solve for x
    x = 148,655,122.28/10,281.56
  6. Step 6: Final answer
    x = 14,458.43

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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.