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Finding the Fourth Proportional to 12,824.01, 17,698.02 and 7,159.87

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Solution

The fourth proportional to 12,824.01, 17,698.02 and 7,159.87 is: 9,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.01 : 17,698.02 = 7,159.87 : x
  2. Step 2: Convert to fraction form
    12,824.01/17,698.02 = 7,159.87/x
  3. Step 3: Cross multiply
    12,824.01x = 17,698.02 × 7,159.87
  4. Step 4: Simplify right side
    12,824.01x = 126,715,522.46
  5. Step 5: Solve for x
    x = 126,715,522.46/12,824.01
  6. Step 6: Final answer
    x = 9,881.12

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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.