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Finding the Fourth Proportional to 9,296.61, 13,946.49 and 4,616.88

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Solution

The fourth proportional to 9,296.61, 13,946.49 and 4,616.88 is: 6,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.61 : 13,946.49 = 4,616.88 : x
  2. Step 2: Convert to fraction form
    9,296.61/13,946.49 = 4,616.88/x
  3. Step 3: Cross multiply
    9,296.61x = 13,946.49 × 4,616.88
  4. Step 4: Simplify right side
    9,296.61x = 64,389,270.75
  5. Step 5: Solve for x
    x = 64,389,270.75/9,296.61
  6. Step 6: Final answer
    x = 6,926.10

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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.