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Finding the Fourth Proportional to 4,696.83, 6,472.76 and 4,065.39

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Solution

The fourth proportional to 4,696.83, 6,472.76 and 4,065.39 is: 5,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.83 : 6,472.76 = 4,065.39 : x
  2. Step 2: Convert to fraction form
    4,696.83/6,472.76 = 4,065.39/x
  3. Step 3: Cross multiply
    4,696.83x = 6,472.76 × 4,065.39
  4. Step 4: Simplify right side
    4,696.83x = 26,314,273.45
  5. Step 5: Solve for x
    x = 26,314,273.45/4,696.83
  6. Step 6: Final answer
    x = 5,602.56

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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.