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Finding the Fourth Proportional to 6,856.44, 9,464.76 and 4,502.40

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Solution

The fourth proportional to 6,856.44, 9,464.76 and 4,502.40 is: 6,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.44 : 9,464.76 = 4,502.40 : x
  2. Step 2: Convert to fraction form
    6,856.44/9,464.76 = 4,502.40/x
  3. Step 3: Cross multiply
    6,856.44x = 9,464.76 × 4,502.40
  4. Step 4: Simplify right side
    6,856.44x = 42,614,135.42
  5. Step 5: Solve for x
    x = 42,614,135.42/6,856.44
  6. Step 6: Final answer
    x = 6,215.20

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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.