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Finding the Fourth Proportional to 6,275.34, 9,413.64 and 2,327.64

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Solution

The fourth proportional to 6,275.34, 9,413.64 and 2,327.64 is: 3,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.34 : 9,413.64 = 2,327.64 : x
  2. Step 2: Convert to fraction form
    6,275.34/9,413.64 = 2,327.64/x
  3. Step 3: Cross multiply
    6,275.34x = 9,413.64 × 2,327.64
  4. Step 4: Simplify right side
    6,275.34x = 21,911,565.01
  5. Step 5: Solve for x
    x = 21,911,565.01/6,275.34
  6. Step 6: Final answer
    x = 3,491.69

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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.