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Finding the Fourth Proportional to 8,700, 12,006 and 4,974

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Solution

The fourth proportional to 8,700, 12,006 and 4,974 is: 6,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,700 : 12,006 = 4,974 : x
  2. Step 2: Convert to fraction form
    8,700/12,006 = 4,974/x
  3. Step 3: Cross multiply
    8,700x = 12,006 × 4,974
  4. Step 4: Simplify right side
    8,700x = 59,717,844
  5. Step 5: Solve for x
    x = 59,717,844/8,700
  6. Step 6: Final answer
    x = 6,864.12

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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.