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Finding the Fourth Proportional to 7,014.42, 9,671.14 and 4,492.38

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Solution

The fourth proportional to 7,014.42, 9,671.14 and 4,492.38 is: 6,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.42 : 9,671.14 = 4,492.38 : x
  2. Step 2: Convert to fraction form
    7,014.42/9,671.14 = 4,492.38/x
  3. Step 3: Cross multiply
    7,014.42x = 9,671.14 × 4,492.38
  4. Step 4: Simplify right side
    7,014.42x = 43,446,435.91
  5. Step 5: Solve for x
    x = 43,446,435.91/7,014.42
  6. Step 6: Final answer
    x = 6,193.88

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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.