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Finding the Fourth Proportional to 9,606.87, 13,263.54 and 7,364.59

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Solution

The fourth proportional to 9,606.87, 13,263.54 and 7,364.59 is: 10,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.87 : 13,263.54 = 7,364.59 : x
  2. Step 2: Convert to fraction form
    9,606.87/13,263.54 = 7,364.59/x
  3. Step 3: Cross multiply
    9,606.87x = 13,263.54 × 7,364.59
  4. Step 4: Simplify right side
    9,606.87x = 97,680,534.05
  5. Step 5: Solve for x
    x = 97,680,534.05/9,606.87
  6. Step 6: Final answer
    x = 10,167.78

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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.