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Finding the Fourth Proportional to 9,413.78, 14,126.10 and 5,031.20

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Solution

The fourth proportional to 9,413.78, 14,126.10 and 5,031.20 is: 7,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.78 : 14,126.10 = 5,031.20 : x
  2. Step 2: Convert to fraction form
    9,413.78/14,126.10 = 5,031.20/x
  3. Step 3: Cross multiply
    9,413.78x = 14,126.10 × 5,031.20
  4. Step 4: Simplify right side
    9,413.78x = 71,071,234.32
  5. Step 5: Solve for x
    x = 71,071,234.32/9,413.78
  6. Step 6: Final answer
    x = 7,549.70

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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.