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Finding the Fourth Proportional to 6,307.84, 9,461.76 and 2,413.44

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Solution

The fourth proportional to 6,307.84, 9,461.76 and 2,413.44 is: 3,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.84 : 9,461.76 = 2,413.44 : x
  2. Step 2: Convert to fraction form
    6,307.84/9,461.76 = 2,413.44/x
  3. Step 3: Cross multiply
    6,307.84x = 9,461.76 × 2,413.44
  4. Step 4: Simplify right side
    6,307.84x = 22,835,390.05
  5. Step 5: Solve for x
    x = 22,835,390.05/6,307.84
  6. Step 6: Final answer
    x = 3,620.16

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Similar ratio
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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.