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Finding the Fourth Proportional to 4,597.48, 6,896.10 and 1,477.70

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Solution

The fourth proportional to 4,597.48, 6,896.10 and 1,477.70 is: 2,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.48 : 6,896.10 = 1,477.70 : x
  2. Step 2: Convert to fraction form
    4,597.48/6,896.10 = 1,477.70/x
  3. Step 3: Cross multiply
    4,597.48x = 6,896.10 × 1,477.70
  4. Step 4: Simplify right side
    4,597.48x = 10,190,366.97
  5. Step 5: Solve for x
    x = 10,190,366.97/4,597.48
  6. Step 6: Final answer
    x = 2,216.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.