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Finding the Fourth Proportional to 6,559.65, 9,835.86 and 4,482

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Solution

The fourth proportional to 6,559.65, 9,835.86 and 4,482 is: 6,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.65 : 9,835.86 = 4,482 : x
  2. Step 2: Convert to fraction form
    6,559.65/9,835.86 = 4,482/x
  3. Step 3: Cross multiply
    6,559.65x = 9,835.86 × 4,482
  4. Step 4: Simplify right side
    6,559.65x = 44,084,341.33
  5. Step 5: Solve for x
    x = 44,084,341.33/6,559.65
  6. Step 6: Final answer
    x = 6,720.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.