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Finding the Fourth Proportional to 6,410.40, 9,599.40 and 4,207.20

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Solution

The fourth proportional to 6,410.40, 9,599.40 and 4,207.20 is: 6,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.40 : 9,599.40 = 4,207.20 : x
  2. Step 2: Convert to fraction form
    6,410.40/9,599.40 = 4,207.20/x
  3. Step 3: Cross multiply
    6,410.40x = 9,599.40 × 4,207.20
  4. Step 4: Simplify right side
    6,410.40x = 40,386,595.68
  5. Step 5: Solve for x
    x = 40,386,595.68/6,410.40
  6. Step 6: Final answer
    x = 6,300.17

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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.