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Finding the Fourth Proportional to 9,299.70, 12,835.80 and 5,323.11

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Solution

The fourth proportional to 9,299.70, 12,835.80 and 5,323.11 is: 7,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.70 : 12,835.80 = 5,323.11 : x
  2. Step 2: Convert to fraction form
    9,299.70/12,835.80 = 5,323.11/x
  3. Step 3: Cross multiply
    9,299.70x = 12,835.80 × 5,323.11
  4. Step 4: Simplify right side
    9,299.70x = 68,326,375.34
  5. Step 5: Solve for x
    x = 68,326,375.34/9,299.70
  6. Step 6: Final answer
    x = 7,347.16

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1.5x scale

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.