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Finding the Fourth Proportional to 12,509.42, 17,262.96 and 6,844.68

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Solution

The fourth proportional to 12,509.42, 17,262.96 and 6,844.68 is: 9,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.42 : 17,262.96 = 6,844.68 : x
  2. Step 2: Convert to fraction form
    12,509.42/17,262.96 = 6,844.68/x
  3. Step 3: Cross multiply
    12,509.42x = 17,262.96 × 6,844.68
  4. Step 4: Simplify right side
    12,509.42x = 118,159,437.05
  5. Step 5: Solve for x
    x = 118,159,437.05/12,509.42
  6. Step 6: Final answer
    x = 9,445.64

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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.