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Finding the Fourth Proportional to 8,413.94, 11,599.10 and 5,888.22

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Solution

The fourth proportional to 8,413.94, 11,599.10 and 5,888.22 is: 8,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.94 : 11,599.10 = 5,888.22 : x
  2. Step 2: Convert to fraction form
    8,413.94/11,599.10 = 5,888.22/x
  3. Step 3: Cross multiply
    8,413.94x = 11,599.10 × 5,888.22
  4. Step 4: Simplify right side
    8,413.94x = 68,298,052.60
  5. Step 5: Solve for x
    x = 68,298,052.60/8,413.94
  6. Step 6: Final answer
    x = 8,117.25

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Half scale
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Double scale
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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.