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Finding the Fourth Proportional to 12,702.84, 17,534.52 and 10,340.88

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Solution

The fourth proportional to 12,702.84, 17,534.52 and 10,340.88 is: 14,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.84 : 17,534.52 = 10,340.88 : x
  2. Step 2: Convert to fraction form
    12,702.84/17,534.52 = 10,340.88/x
  3. Step 3: Cross multiply
    12,702.84x = 17,534.52 × 10,340.88
  4. Step 4: Simplify right side
    12,702.84x = 181,322,367.18
  5. Step 5: Solve for x
    x = 181,322,367.18/12,702.84
  6. Step 6: Final answer
    x = 14,274.16

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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.