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Finding the Fourth Proportional to 7,001.64, 9,674.64 and 5,008.77

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Solution

The fourth proportional to 7,001.64, 9,674.64 and 5,008.77 is: 6,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.64 : 9,674.64 = 5,008.77 : x
  2. Step 2: Convert to fraction form
    7,001.64/9,674.64 = 5,008.77/x
  3. Step 3: Cross multiply
    7,001.64x = 9,674.64 × 5,008.77
  4. Step 4: Simplify right side
    7,001.64x = 48,458,046.59
  5. Step 5: Solve for x
    x = 48,458,046.59/7,001.64
  6. Step 6: Final answer
    x = 6,920.96

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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.