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Finding the Fourth Proportional to 7,697.70, 10,622.95 and 4,510.24

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Solution

The fourth proportional to 7,697.70, 10,622.95 and 4,510.24 is: 6,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.70 : 10,622.95 = 4,510.24 : x
  2. Step 2: Convert to fraction form
    7,697.70/10,622.95 = 4,510.24/x
  3. Step 3: Cross multiply
    7,697.70x = 10,622.95 × 4,510.24
  4. Step 4: Simplify right side
    7,697.70x = 47,912,033.09
  5. Step 5: Solve for x
    x = 47,912,033.09/7,697.70
  6. Step 6: Final answer
    x = 6,224.20

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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.