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Finding the Fourth Proportional to 13,801.76, 20,702.16 and 4,567.68

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Solution

The fourth proportional to 13,801.76, 20,702.16 and 4,567.68 is: 6,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.76 : 20,702.16 = 4,567.68 : x
  2. Step 2: Convert to fraction form
    13,801.76/20,702.16 = 4,567.68/x
  3. Step 3: Cross multiply
    13,801.76x = 20,702.16 × 4,567.68
  4. Step 4: Simplify right side
    13,801.76x = 94,560,842.19
  5. Step 5: Solve for x
    x = 94,560,842.19/13,801.76
  6. Step 6: Final answer
    x = 6,851.36

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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.