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Finding the Fourth Proportional to 13,714.54, 20,567.55 and 4,948.31

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Solution

The fourth proportional to 13,714.54, 20,567.55 and 4,948.31 is: 7,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.54 : 20,567.55 = 4,948.31 : x
  2. Step 2: Convert to fraction form
    13,714.54/20,567.55 = 4,948.31/x
  3. Step 3: Cross multiply
    13,714.54x = 20,567.55 × 4,948.31
  4. Step 4: Simplify right side
    13,714.54x = 101,774,613.34
  5. Step 5: Solve for x
    x = 101,774,613.34/13,714.54
  6. Step 6: Final answer
    x = 7,420.93

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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.