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Finding the Fourth Proportional to 12,597.07, 17,384.40 and 6,931.99

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Solution

The fourth proportional to 12,597.07, 17,384.40 and 6,931.99 is: 9,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.07 : 17,384.40 = 6,931.99 : x
  2. Step 2: Convert to fraction form
    12,597.07/17,384.40 = 6,931.99/x
  3. Step 3: Cross multiply
    12,597.07x = 17,384.40 × 6,931.99
  4. Step 4: Simplify right side
    12,597.07x = 120,508,486.96
  5. Step 5: Solve for x
    x = 120,508,486.96/12,597.07
  6. Step 6: Final answer
    x = 9,566.39

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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.