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Finding the Fourth Proportional to 4,703.51, 7,058.85 and 1,744.74

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Solution

The fourth proportional to 4,703.51, 7,058.85 and 1,744.74 is: 2,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.51 : 7,058.85 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    4,703.51/7,058.85 = 1,744.74/x
  3. Step 3: Cross multiply
    4,703.51x = 7,058.85 × 1,744.74
  4. Step 4: Simplify right side
    4,703.51x = 12,315,857.95
  5. Step 5: Solve for x
    x = 12,315,857.95/4,703.51
  6. Step 6: Final answer
    x = 2,618.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.