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Finding the Fourth Proportional to 9,223.68, 12,724.48 and 5,496.32

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Solution

The fourth proportional to 9,223.68, 12,724.48 and 5,496.32 is: 7,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.68 : 12,724.48 = 5,496.32 : x
  2. Step 2: Convert to fraction form
    9,223.68/12,724.48 = 5,496.32/x
  3. Step 3: Cross multiply
    9,223.68x = 12,724.48 × 5,496.32
  4. Step 4: Simplify right side
    9,223.68x = 69,937,813.91
  5. Step 5: Solve for x
    x = 69,937,813.91/9,223.68
  6. Step 6: Final answer
    x = 7,582.42

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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.