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Finding the Fourth Proportional to 7,551.76, 10,421.16 and 4,194.70

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Solution

The fourth proportional to 7,551.76, 10,421.16 and 4,194.70 is: 5,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.76 : 10,421.16 = 4,194.70 : x
  2. Step 2: Convert to fraction form
    7,551.76/10,421.16 = 4,194.70/x
  3. Step 3: Cross multiply
    7,551.76x = 10,421.16 × 4,194.70
  4. Step 4: Simplify right side
    7,551.76x = 43,713,639.85
  5. Step 5: Solve for x
    x = 43,713,639.85/7,551.76
  6. Step 6: Final answer
    x = 5,788.54

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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.