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Finding the Fourth Proportional to 10,754.55, 14,830.95 and 6,976.33

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Solution

The fourth proportional to 10,754.55, 14,830.95 and 6,976.33 is: 9,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.55 : 14,830.95 = 6,976.33 : x
  2. Step 2: Convert to fraction form
    10,754.55/14,830.95 = 6,976.33/x
  3. Step 3: Cross multiply
    10,754.55x = 14,830.95 × 6,976.33
  4. Step 4: Simplify right side
    10,754.55x = 103,465,601.41
  5. Step 5: Solve for x
    x = 103,465,601.41/10,754.55
  6. Step 6: Final answer
    x = 9,620.64

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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.