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Finding the Fourth Proportional to 4,602.01, 6,857.29 and 4,378.84

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Solution

The fourth proportional to 4,602.01, 6,857.29 and 4,378.84 is: 6,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.01 : 6,857.29 = 4,378.84 : x
  2. Step 2: Convert to fraction form
    4,602.01/6,857.29 = 4,378.84/x
  3. Step 3: Cross multiply
    4,602.01x = 6,857.29 × 4,378.84
  4. Step 4: Simplify right side
    4,602.01x = 30,026,975.74
  5. Step 5: Solve for x
    x = 30,026,975.74/4,602.01
  6. Step 6: Final answer
    x = 6,524.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.