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Finding the Fourth Proportional to 4,602.39, 6,935.98 and 4,164.23

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Solution

The fourth proportional to 4,602.39, 6,935.98 and 4,164.23 is: 6,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.39 : 6,935.98 = 4,164.23 : x
  2. Step 2: Convert to fraction form
    4,602.39/6,935.98 = 4,164.23/x
  3. Step 3: Cross multiply
    4,602.39x = 6,935.98 × 4,164.23
  4. Step 4: Simplify right side
    4,602.39x = 28,882,995.17
  5. Step 5: Solve for x
    x = 28,882,995.17/4,602.39
  6. Step 6: Final answer
    x = 6,275.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.