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Finding the Fourth Proportional to 15,141.71, 20,883.71 and 9,838.25

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Solution

The fourth proportional to 15,141.71, 20,883.71 and 9,838.25 is: 13,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.71 : 20,883.71 = 9,838.25 : x
  2. Step 2: Convert to fraction form
    15,141.71/20,883.71 = 9,838.25/x
  3. Step 3: Cross multiply
    15,141.71x = 20,883.71 × 9,838.25
  4. Step 4: Simplify right side
    15,141.71x = 205,459,110.72
  5. Step 5: Solve for x
    x = 205,459,110.72/15,141.71
  6. Step 6: Final answer
    x = 13,569.08

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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.