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Finding the Fourth Proportional to 9,616.16, 14,423.20 and 3,042.40

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Solution

The fourth proportional to 9,616.16, 14,423.20 and 3,042.40 is: 4,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.16 : 14,423.20 = 3,042.40 : x
  2. Step 2: Convert to fraction form
    9,616.16/14,423.20 = 3,042.40/x
  3. Step 3: Cross multiply
    9,616.16x = 14,423.20 × 3,042.40
  4. Step 4: Simplify right side
    9,616.16x = 43,881,143.68
  5. Step 5: Solve for x
    x = 43,881,143.68/9,616.16
  6. Step 6: Final answer
    x = 4,563.27

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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.