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Finding the Fourth Proportional to 6,510.92, 9,714.70 and 6,361.60

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Solution

The fourth proportional to 6,510.92, 9,714.70 and 6,361.60 is: 9,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.92 : 9,714.70 = 6,361.60 : x
  2. Step 2: Convert to fraction form
    6,510.92/9,714.70 = 6,361.60/x
  3. Step 3: Cross multiply
    6,510.92x = 9,714.70 × 6,361.60
  4. Step 4: Simplify right side
    6,510.92x = 61,801,035.52
  5. Step 5: Solve for x
    x = 61,801,035.52/6,510.92
  6. Step 6: Final answer
    x = 9,491.91

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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.