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Finding the Fourth Proportional to 9,673.80, 14,508.33 and 3,098.62

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Solution

The fourth proportional to 9,673.80, 14,508.33 and 3,098.62 is: 4,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.80 : 14,508.33 = 3,098.62 : x
  2. Step 2: Convert to fraction form
    9,673.80/14,508.33 = 3,098.62/x
  3. Step 3: Cross multiply
    9,673.80x = 14,508.33 × 3,098.62
  4. Step 4: Simplify right side
    9,673.80x = 44,955,801.50
  5. Step 5: Solve for x
    x = 44,955,801.50/9,673.80
  6. Step 6: Final answer
    x = 4,647.17

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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.