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Finding the Fourth Proportional to 7,860.40, 11,819.40 and 6,593.20

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Solution

The fourth proportional to 7,860.40, 11,819.40 and 6,593.20 is: 9,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.40 : 11,819.40 = 6,593.20 : x
  2. Step 2: Convert to fraction form
    7,860.40/11,819.40 = 6,593.20/x
  3. Step 3: Cross multiply
    7,860.40x = 11,819.40 × 6,593.20
  4. Step 4: Simplify right side
    7,860.40x = 77,927,668.08
  5. Step 5: Solve for x
    x = 77,927,668.08/7,860.40
  6. Step 6: Final answer
    x = 9,913.96

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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.