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Finding the Fourth Proportional to 15,616.74, 23,430.78 and 6,854.16

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Solution

The fourth proportional to 15,616.74, 23,430.78 and 6,854.16 is: 10,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.74 : 23,430.78 = 6,854.16 : x
  2. Step 2: Convert to fraction form
    15,616.74/23,430.78 = 6,854.16/x
  3. Step 3: Cross multiply
    15,616.74x = 23,430.78 × 6,854.16
  4. Step 4: Simplify right side
    15,616.74x = 160,598,315.04
  5. Step 5: Solve for x
    x = 160,598,315.04/15,616.74
  6. Step 6: Final answer
    x = 10,283.73

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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.