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Finding the Fourth Proportional to 14,681.87, 22,020.07 and 6,784.08

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Solution

The fourth proportional to 14,681.87, 22,020.07 and 6,784.08 is: 10,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.87 : 22,020.07 = 6,784.08 : x
  2. Step 2: Convert to fraction form
    14,681.87/22,020.07 = 6,784.08/x
  3. Step 3: Cross multiply
    14,681.87x = 22,020.07 × 6,784.08
  4. Step 4: Simplify right side
    14,681.87x = 149,385,772.46
  5. Step 5: Solve for x
    x = 149,385,772.46/14,681.87
  6. Step 6: Final answer
    x = 10,174.85

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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.