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Finding the Fourth Proportional to 7,551.34, 10,420.70 and 4,194.02

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Solution

The fourth proportional to 7,551.34, 10,420.70 and 4,194.02 is: 5,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.34 : 10,420.70 = 4,194.02 : x
  2. Step 2: Convert to fraction form
    7,551.34/10,420.70 = 4,194.02/x
  3. Step 3: Cross multiply
    7,551.34x = 10,420.70 × 4,194.02
  4. Step 4: Simplify right side
    7,551.34x = 43,704,624.21
  5. Step 5: Solve for x
    x = 43,704,624.21/7,551.34
  6. Step 6: Final answer
    x = 5,787.66

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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.