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Finding the Fourth Proportional to 10,816.97, 14,919.71 and 7,033.11

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Solution

The fourth proportional to 10,816.97, 14,919.71 and 7,033.11 is: 9,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.97 : 14,919.71 = 7,033.11 : x
  2. Step 2: Convert to fraction form
    10,816.97/14,919.71 = 7,033.11/x
  3. Step 3: Cross multiply
    10,816.97x = 14,919.71 × 7,033.11
  4. Step 4: Simplify right side
    10,816.97x = 104,931,926.43
  5. Step 5: Solve for x
    x = 104,931,926.43/10,816.97
  6. Step 6: Final answer
    x = 9,700.68

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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.