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Finding the Fourth Proportional to 7,770.32, 10,716.88 and 5,497.64

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Solution

The fourth proportional to 7,770.32, 10,716.88 and 5,497.64 is: 7,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.32 : 10,716.88 = 5,497.64 : x
  2. Step 2: Convert to fraction form
    7,770.32/10,716.88 = 5,497.64/x
  3. Step 3: Cross multiply
    7,770.32x = 10,716.88 × 5,497.64
  4. Step 4: Simplify right side
    7,770.32x = 58,917,548.16
  5. Step 5: Solve for x
    x = 58,917,548.16/7,770.32
  6. Step 6: Final answer
    x = 7,582.38

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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.