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Finding the Fourth Proportional to 9,353.76, 13,988.00 and 6,983.52

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Solution

The fourth proportional to 9,353.76, 13,988.00 and 6,983.52 is: 10,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.76 : 13,988.00 = 6,983.52 : x
  2. Step 2: Convert to fraction form
    9,353.76/13,988.00 = 6,983.52/x
  3. Step 3: Cross multiply
    9,353.76x = 13,988.00 × 6,983.52
  4. Step 4: Simplify right side
    9,353.76x = 97,685,442.84
  5. Step 5: Solve for x
    x = 97,685,442.84/9,353.76
  6. Step 6: Final answer
    x = 10,443.44

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1.5x scale

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.