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Finding the Fourth Proportional to 6,573.75, 9,071.79 and 4,219.08

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Solution

The fourth proportional to 6,573.75, 9,071.79 and 4,219.08 is: 5,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.75 : 9,071.79 = 4,219.08 : x
  2. Step 2: Convert to fraction form
    6,573.75/9,071.79 = 4,219.08/x
  3. Step 3: Cross multiply
    6,573.75x = 9,071.79 × 4,219.08
  4. Step 4: Simplify right side
    6,573.75x = 38,274,607.75
  5. Step 5: Solve for x
    x = 38,274,607.75/6,573.75
  6. Step 6: Final answer
    x = 5,822.34

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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.