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Finding the Fourth Proportional to 6,898.52, 10,347.90 and 2,281.64

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Solution

The fourth proportional to 6,898.52, 10,347.90 and 2,281.64 is: 3,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.52 : 10,347.90 = 2,281.64 : x
  2. Step 2: Convert to fraction form
    6,898.52/10,347.90 = 2,281.64/x
  3. Step 3: Cross multiply
    6,898.52x = 10,347.90 × 2,281.64
  4. Step 4: Simplify right side
    6,898.52x = 23,610,182.56
  5. Step 5: Solve for x
    x = 23,610,182.56/6,898.52
  6. Step 6: Final answer
    x = 3,422.50

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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.