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Finding the Fourth Proportional to 10,296.67, 15,312.54 and 9,968.62

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Solution

The fourth proportional to 10,296.67, 15,312.54 and 9,968.62 is: 14,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.67 : 15,312.54 = 9,968.62 : x
  2. Step 2: Convert to fraction form
    10,296.67/15,312.54 = 9,968.62/x
  3. Step 3: Cross multiply
    10,296.67x = 15,312.54 × 9,968.62
  4. Step 4: Simplify right side
    10,296.67x = 152,644,766.09
  5. Step 5: Solve for x
    x = 152,644,766.09/10,296.67
  6. Step 6: Final answer
    x = 14,824.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.