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Finding the Fourth Proportional to 7,088.64, 9,780.96 and 3,944.64

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Solution

The fourth proportional to 7,088.64, 9,780.96 and 3,944.64 is: 5,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.64 : 9,780.96 = 3,944.64 : x
  2. Step 2: Convert to fraction form
    7,088.64/9,780.96 = 3,944.64/x
  3. Step 3: Cross multiply
    7,088.64x = 9,780.96 × 3,944.64
  4. Step 4: Simplify right side
    7,088.64x = 38,582,366.05
  5. Step 5: Solve for x
    x = 38,582,366.05/7,088.64
  6. Step 6: Final answer
    x = 5,442.84

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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.