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Finding the Fourth Proportional to 14,296.66, 19,718.85 and 9,821.14

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Solution

The fourth proportional to 14,296.66, 19,718.85 and 9,821.14 is: 13,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.66 : 19,718.85 = 9,821.14 : x
  2. Step 2: Convert to fraction form
    14,296.66/19,718.85 = 9,821.14/x
  3. Step 3: Cross multiply
    14,296.66x = 19,718.85 × 9,821.14
  4. Step 4: Simplify right side
    14,296.66x = 193,661,586.49
  5. Step 5: Solve for x
    x = 193,661,586.49/14,296.66
  6. Step 6: Final answer
    x = 13,545.93

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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.