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Finding the Fourth Proportional to 7,209.60, 10,814.79 and 6,815.18

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Solution

The fourth proportional to 7,209.60, 10,814.79 and 6,815.18 is: 10,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.60 : 10,814.79 = 6,815.18 : x
  2. Step 2: Convert to fraction form
    7,209.60/10,814.79 = 6,815.18/x
  3. Step 3: Cross multiply
    7,209.60x = 10,814.79 × 6,815.18
  4. Step 4: Simplify right side
    7,209.60x = 73,704,740.51
  5. Step 5: Solve for x
    x = 73,704,740.51/7,209.60
  6. Step 6: Final answer
    x = 10,223.14

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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.