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Finding the Fourth Proportional to 4,955.52, 6,798 and 4,657.44

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Solution

The fourth proportional to 4,955.52, 6,798 and 4,657.44 is: 6,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.52 : 6,798 = 4,657.44 : x
  2. Step 2: Convert to fraction form
    4,955.52/6,798 = 4,657.44/x
  3. Step 3: Cross multiply
    4,955.52x = 6,798 × 4,657.44
  4. Step 4: Simplify right side
    4,955.52x = 31,661,277.12
  5. Step 5: Solve for x
    x = 31,661,277.12/4,955.52
  6. Step 6: Final answer
    x = 6,389.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.