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Finding the Fourth Proportional to 7,735.68, 11,543.04 and 6,802.56

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Solution

The fourth proportional to 7,735.68, 11,543.04 and 6,802.56 is: 10,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.68 : 11,543.04 = 6,802.56 : x
  2. Step 2: Convert to fraction form
    7,735.68/11,543.04 = 6,802.56/x
  3. Step 3: Cross multiply
    7,735.68x = 11,543.04 × 6,802.56
  4. Step 4: Simplify right side
    7,735.68x = 78,522,222.18
  5. Step 5: Solve for x
    x = 78,522,222.18/7,735.68
  6. Step 6: Final answer
    x = 10,150.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.