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Finding the Fourth Proportional to 6,475.94, 9,712.02 and 3,702.10

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Solution

The fourth proportional to 6,475.94, 9,712.02 and 3,702.10 is: 5,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.94 : 9,712.02 = 3,702.10 : x
  2. Step 2: Convert to fraction form
    6,475.94/9,712.02 = 3,702.10/x
  3. Step 3: Cross multiply
    6,475.94x = 9,712.02 × 3,702.10
  4. Step 4: Simplify right side
    6,475.94x = 35,954,869.24
  5. Step 5: Solve for x
    x = 35,954,869.24/6,475.94
  6. Step 6: Final answer
    x = 5,552.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.