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Finding the Fourth Proportional to 10,900.80, 16,313.40 and 6,521.40

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Solution

The fourth proportional to 10,900.80, 16,313.40 and 6,521.40 is: 9,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.80 : 16,313.40 = 6,521.40 : x
  2. Step 2: Convert to fraction form
    10,900.80/16,313.40 = 6,521.40/x
  3. Step 3: Cross multiply
    10,900.80x = 16,313.40 × 6,521.40
  4. Step 4: Simplify right side
    10,900.80x = 106,386,206.76
  5. Step 5: Solve for x
    x = 106,386,206.76/10,900.80
  6. Step 6: Final answer
    x = 9,759.49

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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.