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Finding the Fourth Proportional to 10,297.67, 15,522.63 and 9,695.65

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Solution

The fourth proportional to 10,297.67, 15,522.63 and 9,695.65 is: 14,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.67 : 15,522.63 = 9,695.65 : x
  2. Step 2: Convert to fraction form
    10,297.67/15,522.63 = 9,695.65/x
  3. Step 3: Cross multiply
    10,297.67x = 15,522.63 × 9,695.65
  4. Step 4: Simplify right side
    10,297.67x = 150,501,987.56
  5. Step 5: Solve for x
    x = 150,501,987.56/10,297.67
  6. Step 6: Final answer
    x = 14,615.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.