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Finding the Fourth Proportional to 12,762.58, 17,613.46 and 7,098.44

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Solution

The fourth proportional to 12,762.58, 17,613.46 and 7,098.44 is: 9,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.58 : 17,613.46 = 7,098.44 : x
  2. Step 2: Convert to fraction form
    12,762.58/17,613.46 = 7,098.44/x
  3. Step 3: Cross multiply
    12,762.58x = 17,613.46 × 7,098.44
  4. Step 4: Simplify right side
    12,762.58x = 125,028,089.00
  5. Step 5: Solve for x
    x = 125,028,089.00/12,762.58
  6. Step 6: Final answer
    x = 9,796.46

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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.