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Finding the Fourth Proportional to 12,853.31, 17,736.64 and 7,547.40

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Solution

The fourth proportional to 12,853.31, 17,736.64 and 7,547.40 is: 10,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.31 : 17,736.64 = 7,547.40 : x
  2. Step 2: Convert to fraction form
    12,853.31/17,736.64 = 7,547.40/x
  3. Step 3: Cross multiply
    12,853.31x = 17,736.64 × 7,547.40
  4. Step 4: Simplify right side
    12,853.31x = 133,865,497.87
  5. Step 5: Solve for x
    x = 133,865,497.87/12,853.31
  6. Step 6: Final answer
    x = 10,414.87

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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.