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Finding the Fourth Proportional to 7,673.68, 10,584.48 and 4,685.68

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Solution

The fourth proportional to 7,673.68, 10,584.48 and 4,685.68 is: 6,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.68 : 10,584.48 = 4,685.68 : x
  2. Step 2: Convert to fraction form
    7,673.68/10,584.48 = 4,685.68/x
  3. Step 3: Cross multiply
    7,673.68x = 10,584.48 × 4,685.68
  4. Step 4: Simplify right side
    7,673.68x = 49,595,486.25
  5. Step 5: Solve for x
    x = 49,595,486.25/7,673.68
  6. Step 6: Final answer
    x = 6,463.06

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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.