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Finding the Fourth Proportional to 9,283.56, 13,909.11 and 7,733.53

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Solution

The fourth proportional to 9,283.56, 13,909.11 and 7,733.53 is: 11,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.56 : 13,909.11 = 7,733.53 : x
  2. Step 2: Convert to fraction form
    9,283.56/13,909.11 = 7,733.53/x
  3. Step 3: Cross multiply
    9,283.56x = 13,909.11 × 7,733.53
  4. Step 4: Simplify right side
    9,283.56x = 107,566,519.46
  5. Step 5: Solve for x
    x = 107,566,519.46/9,283.56
  6. Step 6: Final answer
    x = 11,586.77

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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.