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Finding the Fourth Proportional to 10,955.80, 16,433.70 and 6,275.80

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Solution

The fourth proportional to 10,955.80, 16,433.70 and 6,275.80 is: 9,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.80 : 16,433.70 = 6,275.80 : x
  2. Step 2: Convert to fraction form
    10,955.80/16,433.70 = 6,275.80/x
  3. Step 3: Cross multiply
    10,955.80x = 16,433.70 × 6,275.80
  4. Step 4: Simplify right side
    10,955.80x = 103,134,614.46
  5. Step 5: Solve for x
    x = 103,134,614.46/10,955.80
  6. Step 6: Final answer
    x = 9,413.70

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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.