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Finding the Fourth Proportional to 15,923.16, 23,891.22 and 6,570.90

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Solution

The fourth proportional to 15,923.16, 23,891.22 and 6,570.90 is: 9,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.16 : 23,891.22 = 6,570.90 : x
  2. Step 2: Convert to fraction form
    15,923.16/23,891.22 = 6,570.90/x
  3. Step 3: Cross multiply
    15,923.16x = 23,891.22 × 6,570.90
  4. Step 4: Simplify right side
    15,923.16x = 156,986,817.50
  5. Step 5: Solve for x
    x = 156,986,817.50/15,923.16
  6. Step 6: Final answer
    x = 9,859.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.