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Finding the Fourth Proportional to 15,233.16, 22,857.66 and 6,919.08

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Solution

The fourth proportional to 15,233.16, 22,857.66 and 6,919.08 is: 10,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.16 : 22,857.66 = 6,919.08 : x
  2. Step 2: Convert to fraction form
    15,233.16/22,857.66 = 6,919.08/x
  3. Step 3: Cross multiply
    15,233.16x = 22,857.66 × 6,919.08
  4. Step 4: Simplify right side
    15,233.16x = 158,153,978.15
  5. Step 5: Solve for x
    x = 158,153,978.15/15,233.16
  6. Step 6: Final answer
    x = 10,382.22

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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.