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Finding the Fourth Proportional to 6,821.04, 9,413.76 and 4,587.60

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Solution

The fourth proportional to 6,821.04, 9,413.76 and 4,587.60 is: 6,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.04 : 9,413.76 = 4,587.60 : x
  2. Step 2: Convert to fraction form
    6,821.04/9,413.76 = 4,587.60/x
  3. Step 3: Cross multiply
    6,821.04x = 9,413.76 × 4,587.60
  4. Step 4: Simplify right side
    6,821.04x = 43,186,565.38
  5. Step 5: Solve for x
    x = 43,186,565.38/6,821.04
  6. Step 6: Final answer
    x = 6,331.38

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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.