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Finding the Fourth Proportional to 9,288.48, 12,820.08 and 5,564.64

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Solution

The fourth proportional to 9,288.48, 12,820.08 and 5,564.64 is: 7,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.48 : 12,820.08 = 5,564.64 : x
  2. Step 2: Convert to fraction form
    9,288.48/12,820.08 = 5,564.64/x
  3. Step 3: Cross multiply
    9,288.48x = 12,820.08 × 5,564.64
  4. Step 4: Simplify right side
    9,288.48x = 71,339,129.97
  5. Step 5: Solve for x
    x = 71,339,129.97/9,288.48
  6. Step 6: Final answer
    x = 7,680.39

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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.