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Finding the Fourth Proportional to 20,714.02, 31,085 and 7,567.72

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Solution

The fourth proportional to 20,714.02, 31,085 and 7,567.72 is: 11,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.02 : 31,085 = 7,567.72 : x
  2. Step 2: Convert to fraction form
    20,714.02/31,085 = 7,567.72/x
  3. Step 3: Cross multiply
    20,714.02x = 31,085 × 7,567.72
  4. Step 4: Simplify right side
    20,714.02x = 235,242,576.20
  5. Step 5: Solve for x
    x = 235,242,576.20/20,714.02
  6. Step 6: Final answer
    x = 11,356.68

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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.