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Finding the Fourth Proportional to 14,471.50, 21,710.07 and 6,151.42

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Solution

The fourth proportional to 14,471.50, 21,710.07 and 6,151.42 is: 9,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.50 : 21,710.07 = 6,151.42 : x
  2. Step 2: Convert to fraction form
    14,471.50/21,710.07 = 6,151.42/x
  3. Step 3: Cross multiply
    14,471.50x = 21,710.07 × 6,151.42
  4. Step 4: Simplify right side
    14,471.50x = 133,547,758.80
  5. Step 5: Solve for x
    x = 133,547,758.80/14,471.50
  6. Step 6: Final answer
    x = 9,228.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.