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Finding the Fourth Proportional to 7,088.44, 9,766.50 and 5,288.32

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Solution

The fourth proportional to 7,088.44, 9,766.50 and 5,288.32 is: 7,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.44 : 9,766.50 = 5,288.32 : x
  2. Step 2: Convert to fraction form
    7,088.44/9,766.50 = 5,288.32/x
  3. Step 3: Cross multiply
    7,088.44x = 9,766.50 × 5,288.32
  4. Step 4: Simplify right side
    7,088.44x = 51,648,377.28
  5. Step 5: Solve for x
    x = 51,648,377.28/7,088.44
  6. Step 6: Final answer
    x = 7,286.28

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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.