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Finding the Fourth Proportional to 12,885.90, 17,782.47 and 7,296.54

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Solution

The fourth proportional to 12,885.90, 17,782.47 and 7,296.54 is: 10,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.90 : 17,782.47 = 7,296.54 : x
  2. Step 2: Convert to fraction form
    12,885.90/17,782.47 = 7,296.54/x
  3. Step 3: Cross multiply
    12,885.90x = 17,782.47 × 7,296.54
  4. Step 4: Simplify right side
    12,885.90x = 129,750,503.65
  5. Step 5: Solve for x
    x = 129,750,503.65/12,885.90
  6. Step 6: Final answer
    x = 10,069.18

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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.