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Finding the Fourth Proportional to 12,706.19, 17,541.18 and 9,867.19

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Solution

The fourth proportional to 12,706.19, 17,541.18 and 9,867.19 is: 13,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.19 : 17,541.18 = 9,867.19 : x
  2. Step 2: Convert to fraction form
    12,706.19/17,541.18 = 9,867.19/x
  3. Step 3: Cross multiply
    12,706.19x = 17,541.18 × 9,867.19
  4. Step 4: Simplify right side
    12,706.19x = 173,082,222.01
  5. Step 5: Solve for x
    x = 173,082,222.01/12,706.19
  6. Step 6: Final answer
    x = 13,621.88

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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.