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Finding the Fourth Proportional to 4,866.34, 6,715.86 and 2,770.48

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Solution

The fourth proportional to 4,866.34, 6,715.86 and 2,770.48 is: 3,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.34 : 6,715.86 = 2,770.48 : x
  2. Step 2: Convert to fraction form
    4,866.34/6,715.86 = 2,770.48/x
  3. Step 3: Cross multiply
    4,866.34x = 6,715.86 × 2,770.48
  4. Step 4: Simplify right side
    4,866.34x = 18,606,155.81
  5. Step 5: Solve for x
    x = 18,606,155.81/4,866.34
  6. Step 6: Final answer
    x = 3,823.44

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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.