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Finding the Fourth Proportional to 9,880, 14,820.02 and 2,584

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Solution

The fourth proportional to 9,880, 14,820.02 and 2,584 is: 3,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880 : 14,820.02 = 2,584 : x
  2. Step 2: Convert to fraction form
    9,880/14,820.02 = 2,584/x
  3. Step 3: Cross multiply
    9,880x = 14,820.02 × 2,584
  4. Step 4: Simplify right side
    9,880x = 38,294,931.68
  5. Step 5: Solve for x
    x = 38,294,931.68/9,880
  6. Step 6: Final answer
    x = 3,876.01

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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.