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Finding the Fourth Proportional to 12,300, 16,974 and 7,332

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Solution

The fourth proportional to 12,300, 16,974 and 7,332 is: 10,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300 : 16,974 = 7,332 : x
  2. Step 2: Convert to fraction form
    12,300/16,974 = 7,332/x
  3. Step 3: Cross multiply
    12,300x = 16,974 × 7,332
  4. Step 4: Simplify right side
    12,300x = 124,453,368
  5. Step 5: Solve for x
    x = 124,453,368/12,300
  6. Step 6: Final answer
    x = 10,118.16

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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.