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Finding the Fourth Proportional to 8,696.74, 12,001.29 and 4,970.50

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Solution

The fourth proportional to 8,696.74, 12,001.29 and 4,970.50 is: 6,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.74 : 12,001.29 = 4,970.50 : x
  2. Step 2: Convert to fraction form
    8,696.74/12,001.29 = 4,970.50/x
  3. Step 3: Cross multiply
    8,696.74x = 12,001.29 × 4,970.50
  4. Step 4: Simplify right side
    8,696.74x = 59,652,411.95
  5. Step 5: Solve for x
    x = 59,652,411.95/8,696.74
  6. Step 6: Final answer
    x = 6,859.17

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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.