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Finding the Fourth Proportional to 12,897.65, 17,802.54 and 8,422.10

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Solution

The fourth proportional to 12,897.65, 17,802.54 and 8,422.10 is: 11,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.65 : 17,802.54 = 8,422.10 : x
  2. Step 2: Convert to fraction form
    12,897.65/17,802.54 = 8,422.10/x
  3. Step 3: Cross multiply
    12,897.65x = 17,802.54 × 8,422.10
  4. Step 4: Simplify right side
    12,897.65x = 149,934,749.88
  5. Step 5: Solve for x
    x = 149,934,749.88/12,897.65
  6. Step 6: Final answer
    x = 11,624.96

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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.