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Finding the Fourth Proportional to 10,407.83, 14,358.46 and 6,823.65

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Solution

The fourth proportional to 10,407.83, 14,358.46 and 6,823.65 is: 9,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.83 : 14,358.46 = 6,823.65 : x
  2. Step 2: Convert to fraction form
    10,407.83/14,358.46 = 6,823.65/x
  3. Step 3: Cross multiply
    10,407.83x = 14,358.46 × 6,823.65
  4. Step 4: Simplify right side
    10,407.83x = 97,977,105.58
  5. Step 5: Solve for x
    x = 97,977,105.58/10,407.83
  6. Step 6: Final answer
    x = 9,413.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.