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Finding the Fourth Proportional to 8,026.16, 12,046.48 and 4,742.24

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Solution

The fourth proportional to 8,026.16, 12,046.48 and 4,742.24 is: 7,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.16 : 12,046.48 = 4,742.24 : x
  2. Step 2: Convert to fraction form
    8,026.16/12,046.48 = 4,742.24/x
  3. Step 3: Cross multiply
    8,026.16x = 12,046.48 × 4,742.24
  4. Step 4: Simplify right side
    8,026.16x = 57,127,299.32
  5. Step 5: Solve for x
    x = 57,127,299.32/8,026.16
  6. Step 6: Final answer
    x = 7,117.64

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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.