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Finding the Fourth Proportional to 9,833.12, 14,733.12 and 6,314.48

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Solution

The fourth proportional to 9,833.12, 14,733.12 and 6,314.48 is: 9,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.12 : 14,733.12 = 6,314.48 : x
  2. Step 2: Convert to fraction form
    9,833.12/14,733.12 = 6,314.48/x
  3. Step 3: Cross multiply
    9,833.12x = 14,733.12 × 6,314.48
  4. Step 4: Simplify right side
    9,833.12x = 93,031,991.58
  5. Step 5: Solve for x
    x = 93,031,991.58/9,833.12
  6. Step 6: Final answer
    x = 9,461.09

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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.