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Finding the Fourth Proportional to 7,002.81, 9,663.90 and 3,816.13

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Solution

The fourth proportional to 7,002.81, 9,663.90 and 3,816.13 is: 5,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.81 : 9,663.90 = 3,816.13 : x
  2. Step 2: Convert to fraction form
    7,002.81/9,663.90 = 3,816.13/x
  3. Step 3: Cross multiply
    7,002.81x = 9,663.90 × 3,816.13
  4. Step 4: Simplify right side
    7,002.81x = 36,878,698.71
  5. Step 5: Solve for x
    x = 36,878,698.71/7,002.81
  6. Step 6: Final answer
    x = 5,266.27

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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.