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Finding the Fourth Proportional to 9,873.13, 14,809.45 and 3,209.62

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Solution

The fourth proportional to 9,873.13, 14,809.45 and 3,209.62 is: 4,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.13 : 14,809.45 = 3,209.62 : x
  2. Step 2: Convert to fraction form
    9,873.13/14,809.45 = 3,209.62/x
  3. Step 3: Cross multiply
    9,873.13x = 14,809.45 × 3,209.62
  4. Step 4: Simplify right side
    9,873.13x = 47,532,706.91
  5. Step 5: Solve for x
    x = 47,532,706.91/9,873.13
  6. Step 6: Final answer
    x = 4,814.35

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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.