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Finding the Fourth Proportional to 12,801.60, 17,629.56 and 9,259.20

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Solution

The fourth proportional to 12,801.60, 17,629.56 and 9,259.20 is: 12,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.60 : 17,629.56 = 9,259.20 : x
  2. Step 2: Convert to fraction form
    12,801.60/17,629.56 = 9,259.20/x
  3. Step 3: Cross multiply
    12,801.60x = 17,629.56 × 9,259.20
  4. Step 4: Simplify right side
    12,801.60x = 163,235,621.95
  5. Step 5: Solve for x
    x = 163,235,621.95/12,801.60
  6. Step 6: Final answer
    x = 12,751.19

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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.