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Finding the Fourth Proportional to 34,413.49, 51,614.06 and 9,113.16

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Solution

The fourth proportional to 34,413.49, 51,614.06 and 9,113.16 is: 13,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,413.49 : 51,614.06 = 9,113.16 : x
  2. Step 2: Convert to fraction form
    34,413.49/51,614.06 = 9,113.16/x
  3. Step 3: Cross multiply
    34,413.49x = 51,614.06 × 9,113.16
  4. Step 4: Simplify right side
    34,413.49x = 470,367,141.46
  5. Step 5: Solve for x
    x = 470,367,141.46/34,413.49
  6. Step 6: Final answer
    x = 13,668.11

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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.