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Finding the Fourth Proportional to 5,965.34, 8,888.07 and 5,630

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Solution

The fourth proportional to 5,965.34, 8,888.07 and 5,630 is: 8,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.34 : 8,888.07 = 5,630 : x
  2. Step 2: Convert to fraction form
    5,965.34/8,888.07 = 5,630/x
  3. Step 3: Cross multiply
    5,965.34x = 8,888.07 × 5,630
  4. Step 4: Simplify right side
    5,965.34x = 50,039,805.95
  5. Step 5: Solve for x
    x = 50,039,805.95/5,965.34
  6. Step 6: Final answer
    x = 8,388.42

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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.