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Finding the Fourth Proportional to 7,008.36, 9,671.76 and 3,864.48

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Solution

The fourth proportional to 7,008.36, 9,671.76 and 3,864.48 is: 5,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.36 : 9,671.76 = 3,864.48 : x
  2. Step 2: Convert to fraction form
    7,008.36/9,671.76 = 3,864.48/x
  3. Step 3: Cross multiply
    7,008.36x = 9,671.76 × 3,864.48
  4. Step 4: Simplify right side
    7,008.36x = 37,376,323.08
  5. Step 5: Solve for x
    x = 37,376,323.08/7,008.36
  6. Step 6: Final answer
    x = 5,333.11

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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.