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Finding the Fourth Proportional to 5,774.40, 8,648.64 and 4,471.92

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Solution

The fourth proportional to 5,774.40, 8,648.64 and 4,471.92 is: 6,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.40 : 8,648.64 = 4,471.92 : x
  2. Step 2: Convert to fraction form
    5,774.40/8,648.64 = 4,471.92/x
  3. Step 3: Cross multiply
    5,774.40x = 8,648.64 × 4,471.92
  4. Step 4: Simplify right side
    5,774.40x = 38,676,026.19
  5. Step 5: Solve for x
    x = 38,676,026.19/5,774.40
  6. Step 6: Final answer
    x = 6,697.84

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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.