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Finding the Fourth Proportional to 10,413.85, 15,595.74 and 5,958.01

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Solution

The fourth proportional to 10,413.85, 15,595.74 and 5,958.01 is: 8,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.85 : 15,595.74 = 5,958.01 : x
  2. Step 2: Convert to fraction form
    10,413.85/15,595.74 = 5,958.01/x
  3. Step 3: Cross multiply
    10,413.85x = 15,595.74 × 5,958.01
  4. Step 4: Simplify right side
    10,413.85x = 92,919,574.88
  5. Step 5: Solve for x
    x = 92,919,574.88/10,413.85
  6. Step 6: Final answer
    x = 8,922.69

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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.