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Finding the Fourth Proportional to 10,784, 14,881.56 and 6,068

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Solution

The fourth proportional to 10,784, 14,881.56 and 6,068 is: 8,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784 : 14,881.56 = 6,068 : x
  2. Step 2: Convert to fraction form
    10,784/14,881.56 = 6,068/x
  3. Step 3: Cross multiply
    10,784x = 14,881.56 × 6,068
  4. Step 4: Simplify right side
    10,784x = 90,301,306.08
  5. Step 5: Solve for x
    x = 90,301,306.08/10,784
  6. Step 6: Final answer
    x = 8,373.64

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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.