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Finding the Fourth Proportional to 6,898.46, 9,523.62 and 5,206.46

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Solution

The fourth proportional to 6,898.46, 9,523.62 and 5,206.46 is: 7,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.46 : 9,523.62 = 5,206.46 : x
  2. Step 2: Convert to fraction form
    6,898.46/9,523.62 = 5,206.46/x
  3. Step 3: Cross multiply
    6,898.46x = 9,523.62 × 5,206.46
  4. Step 4: Simplify right side
    6,898.46x = 49,584,346.59
  5. Step 5: Solve for x
    x = 49,584,346.59/6,898.46
  6. Step 6: Final answer
    x = 7,187.74

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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.