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Finding the Fourth Proportional to 12,597.66, 17,384.79 and 7,008.66

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Solution

The fourth proportional to 12,597.66, 17,384.79 and 7,008.66 is: 9,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.66 : 17,384.79 = 7,008.66 : x
  2. Step 2: Convert to fraction form
    12,597.66/17,384.79 = 7,008.66/x
  3. Step 3: Cross multiply
    12,597.66x = 17,384.79 × 7,008.66
  4. Step 4: Simplify right side
    12,597.66x = 121,844,082.28
  5. Step 5: Solve for x
    x = 121,844,082.28/12,597.66
  6. Step 6: Final answer
    x = 9,671.96

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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.