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Finding the Fourth Proportional to 6,465.36, 9,671.22 and 6,071.70

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Solution

The fourth proportional to 6,465.36, 9,671.22 and 6,071.70 is: 9,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.36 : 9,671.22 = 6,071.70 : x
  2. Step 2: Convert to fraction form
    6,465.36/9,671.22 = 6,071.70/x
  3. Step 3: Cross multiply
    6,465.36x = 9,671.22 × 6,071.70
  4. Step 4: Simplify right side
    6,465.36x = 58,720,746.47
  5. Step 5: Solve for x
    x = 58,720,746.47/6,465.36
  6. Step 6: Final answer
    x = 9,082.36

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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.