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Finding the Fourth Proportional to 9,797.13, 14,681.28 and 5,790.39

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Solution

The fourth proportional to 9,797.13, 14,681.28 and 5,790.39 is: 8,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.13 : 14,681.28 = 5,790.39 : x
  2. Step 2: Convert to fraction form
    9,797.13/14,681.28 = 5,790.39/x
  3. Step 3: Cross multiply
    9,797.13x = 14,681.28 × 5,790.39
  4. Step 4: Simplify right side
    9,797.13x = 85,010,336.90
  5. Step 5: Solve for x
    x = 85,010,336.90/9,797.13
  6. Step 6: Final answer
    x = 8,677.07

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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.