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Finding the Fourth Proportional to 12,497.52, 17,245.80 and 6,908.64

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Solution

The fourth proportional to 12,497.52, 17,245.80 and 6,908.64 is: 9,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.52 : 17,245.80 = 6,908.64 : x
  2. Step 2: Convert to fraction form
    12,497.52/17,245.80 = 6,908.64/x
  3. Step 3: Cross multiply
    12,497.52x = 17,245.80 × 6,908.64
  4. Step 4: Simplify right side
    12,497.52x = 119,145,023.71
  5. Step 5: Solve for x
    x = 119,145,023.71/12,497.52
  6. Step 6: Final answer
    x = 9,533.49

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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.