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Finding the Fourth Proportional to 9,912.76, 13,684.93 and 7,655.78

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Solution

The fourth proportional to 9,912.76, 13,684.93 and 7,655.78 is: 10,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.76 : 13,684.93 = 7,655.78 : x
  2. Step 2: Convert to fraction form
    9,912.76/13,684.93 = 7,655.78/x
  3. Step 3: Cross multiply
    9,912.76x = 13,684.93 × 7,655.78
  4. Step 4: Simplify right side
    9,912.76x = 104,768,806.44
  5. Step 5: Solve for x
    x = 104,768,806.44/9,912.76
  6. Step 6: Final answer
    x = 10,569.08

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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.