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Finding the Fourth Proportional to 5,671.06, 8,506.10 and 1,972.66

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Solution

The fourth proportional to 5,671.06, 8,506.10 and 1,972.66 is: 2,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.06 : 8,506.10 = 1,972.66 : x
  2. Step 2: Convert to fraction form
    5,671.06/8,506.10 = 1,972.66/x
  3. Step 3: Cross multiply
    5,671.06x = 8,506.10 × 1,972.66
  4. Step 4: Simplify right side
    5,671.06x = 16,779,643.23
  5. Step 5: Solve for x
    x = 16,779,643.23/5,671.06
  6. Step 6: Final answer
    x = 2,958.82

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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.