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Finding the Fourth Proportional to 7,658.90, 10,568.46 and 4,302.08

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Solution

The fourth proportional to 7,658.90, 10,568.46 and 4,302.08 is: 5,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.90 : 10,568.46 = 4,302.08 : x
  2. Step 2: Convert to fraction form
    7,658.90/10,568.46 = 4,302.08/x
  3. Step 3: Cross multiply
    7,658.90x = 10,568.46 × 4,302.08
  4. Step 4: Simplify right side
    7,658.90x = 45,466,360.40
  5. Step 5: Solve for x
    x = 45,466,360.40/7,658.90
  6. Step 6: Final answer
    x = 5,936.41

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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.