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Finding the Fourth Proportional to 12,903.31, 17,806.49 and 7,160.70

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Solution

The fourth proportional to 12,903.31, 17,806.49 and 7,160.70 is: 9,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.31 : 17,806.49 = 7,160.70 : x
  2. Step 2: Convert to fraction form
    12,903.31/17,806.49 = 7,160.70/x
  3. Step 3: Cross multiply
    12,903.31x = 17,806.49 × 7,160.70
  4. Step 4: Simplify right side
    12,903.31x = 127,506,990.77
  5. Step 5: Solve for x
    x = 127,506,990.77/12,903.31
  6. Step 6: Final answer
    x = 9,881.73

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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.