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Finding the Fourth Proportional to 14,506.71, 21,713.00 and 7,833.93

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Solution

The fourth proportional to 14,506.71, 21,713.00 and 7,833.93 is: 11,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.71 : 21,713.00 = 7,833.93 : x
  2. Step 2: Convert to fraction form
    14,506.71/21,713.00 = 7,833.93/x
  3. Step 3: Cross multiply
    14,506.71x = 21,713.00 × 7,833.93
  4. Step 4: Simplify right side
    14,506.71x = 170,098,082.92
  5. Step 5: Solve for x
    x = 170,098,082.92/14,506.71
  6. Step 6: Final answer
    x = 11,725.48

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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.