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Finding the Fourth Proportional to 12,852.90, 17,715.78 and 8,602.43

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Solution

The fourth proportional to 12,852.90, 17,715.78 and 8,602.43 is: 11,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.90 : 17,715.78 = 8,602.43 : x
  2. Step 2: Convert to fraction form
    12,852.90/17,715.78 = 8,602.43/x
  3. Step 3: Cross multiply
    12,852.90x = 17,715.78 × 8,602.43
  4. Step 4: Simplify right side
    12,852.90x = 152,398,668.77
  5. Step 5: Solve for x
    x = 152,398,668.77/12,852.90
  6. Step 6: Final answer
    x = 11,857.14

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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.