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Finding the Fourth Proportional to 10,852.47, 14,973.97 and 6,605.73

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Solution

The fourth proportional to 10,852.47, 14,973.97 and 6,605.73 is: 9,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.47 : 14,973.97 = 6,605.73 : x
  2. Step 2: Convert to fraction form
    10,852.47/14,973.97 = 6,605.73/x
  3. Step 3: Cross multiply
    10,852.47x = 14,973.97 × 6,605.73
  4. Step 4: Simplify right side
    10,852.47x = 98,914,002.85
  5. Step 5: Solve for x
    x = 98,914,002.85/10,852.47
  6. Step 6: Final answer
    x = 9,114.42

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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.