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Finding the Fourth Proportional to 12,862.50, 17,746.38 and 7,196.70

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Solution

The fourth proportional to 12,862.50, 17,746.38 and 7,196.70 is: 9,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.50 : 17,746.38 = 7,196.70 : x
  2. Step 2: Convert to fraction form
    12,862.50/17,746.38 = 7,196.70/x
  3. Step 3: Cross multiply
    12,862.50x = 17,746.38 × 7,196.70
  4. Step 4: Simplify right side
    12,862.50x = 127,715,372.95
  5. Step 5: Solve for x
    x = 127,715,372.95/12,862.50
  6. Step 6: Final answer
    x = 9,929.28

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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.