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Finding the Fourth Proportional to 14,569.78, 21,853.39 and 7,549.46

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Solution

The fourth proportional to 14,569.78, 21,853.39 and 7,549.46 is: 11,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.78 : 21,853.39 = 7,549.46 : x
  2. Step 2: Convert to fraction form
    14,569.78/21,853.39 = 7,549.46/x
  3. Step 3: Cross multiply
    14,569.78x = 21,853.39 × 7,549.46
  4. Step 4: Simplify right side
    14,569.78x = 164,981,293.67
  5. Step 5: Solve for x
    x = 164,981,293.67/14,569.78
  6. Step 6: Final answer
    x = 11,323.53

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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.