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Finding the Fourth Proportional to 9,684, 14,528.16 and 3,528

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Solution

The fourth proportional to 9,684, 14,528.16 and 3,528 is: 5,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 14,528.16 = 3,528 : x
  2. Step 2: Convert to fraction form
    9,684/14,528.16 = 3,528/x
  3. Step 3: Cross multiply
    9,684x = 14,528.16 × 3,528
  4. Step 4: Simplify right side
    9,684x = 51,255,348.48
  5. Step 5: Solve for x
    x = 51,255,348.48/9,684
  6. Step 6: Final answer
    x = 5,292.79

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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.