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Finding the Fourth Proportional to 9,730.80, 13,423.80 and 8,404.08

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Solution

The fourth proportional to 9,730.80, 13,423.80 and 8,404.08 is: 11,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.80 : 13,423.80 = 8,404.08 : x
  2. Step 2: Convert to fraction form
    9,730.80/13,423.80 = 8,404.08/x
  3. Step 3: Cross multiply
    9,730.80x = 13,423.80 × 8,404.08
  4. Step 4: Simplify right side
    9,730.80x = 112,814,689.10
  5. Step 5: Solve for x
    x = 112,814,689.10/9,730.80
  6. Step 6: Final answer
    x = 11,593.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.