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Finding the Fourth Proportional to 6,401.09, 9,585.03 and 5,482.55

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Solution

The fourth proportional to 6,401.09, 9,585.03 and 5,482.55 is: 8,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.09 : 9,585.03 = 5,482.55 : x
  2. Step 2: Convert to fraction form
    6,401.09/9,585.03 = 5,482.55/x
  3. Step 3: Cross multiply
    6,401.09x = 9,585.03 × 5,482.55
  4. Step 4: Simplify right side
    6,401.09x = 52,550,406.23
  5. Step 5: Solve for x
    x = 52,550,406.23/6,401.09
  6. Step 6: Final answer
    x = 8,209.60

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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.