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Finding the Fourth Proportional to 9,711, 14,566.50 and 2,415

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Solution

The fourth proportional to 9,711, 14,566.50 and 2,415 is: 3,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 14,566.50 = 2,415 : x
  2. Step 2: Convert to fraction form
    9,711/14,566.50 = 2,415/x
  3. Step 3: Cross multiply
    9,711x = 14,566.50 × 2,415
  4. Step 4: Simplify right side
    9,711x = 35,178,097.50
  5. Step 5: Solve for x
    x = 35,178,097.50/9,711
  6. Step 6: Final answer
    x = 3,622.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.