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Finding the Fourth Proportional to 9,498.70, 14,252.10 and 4,565.80

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Solution

The fourth proportional to 9,498.70, 14,252.10 and 4,565.80 is: 6,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.70 : 14,252.10 = 4,565.80 : x
  2. Step 2: Convert to fraction form
    9,498.70/14,252.10 = 4,565.80/x
  3. Step 3: Cross multiply
    9,498.70x = 14,252.10 × 4,565.80
  4. Step 4: Simplify right side
    9,498.70x = 65,072,238.18
  5. Step 5: Solve for x
    x = 65,072,238.18/9,498.70
  6. Step 6: Final answer
    x = 6,850.65

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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.