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Finding the Fourth Proportional to 4,700.75, 6,473.25 and 4,203.23

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Solution

The fourth proportional to 4,700.75, 6,473.25 and 4,203.23 is: 5,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.75 : 6,473.25 = 4,203.23 : x
  2. Step 2: Convert to fraction form
    4,700.75/6,473.25 = 4,203.23/x
  3. Step 3: Cross multiply
    4,700.75x = 6,473.25 × 4,203.23
  4. Step 4: Simplify right side
    4,700.75x = 27,208,526.23
  5. Step 5: Solve for x
    x = 27,208,526.23/4,700.75
  6. Step 6: Final answer
    x = 5,788.13

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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.