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Finding the Fourth Proportional to 6,413.90, 8,842.95 and 5,259.84

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Solution

The fourth proportional to 6,413.90, 8,842.95 and 5,259.84 is: 7,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.90 : 8,842.95 = 5,259.84 : x
  2. Step 2: Convert to fraction form
    6,413.90/8,842.95 = 5,259.84/x
  3. Step 3: Cross multiply
    6,413.90x = 8,842.95 × 5,259.84
  4. Step 4: Simplify right side
    6,413.90x = 46,512,457.91
  5. Step 5: Solve for x
    x = 46,512,457.91/6,413.90
  6. Step 6: Final answer
    x = 7,251.82

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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.