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Finding the Fourth Proportional to 6,467.77, 9,715.47 and 4,630.69

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Solution

The fourth proportional to 6,467.77, 9,715.47 and 4,630.69 is: 6,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.77 : 9,715.47 = 4,630.69 : x
  2. Step 2: Convert to fraction form
    6,467.77/9,715.47 = 4,630.69/x
  3. Step 3: Cross multiply
    6,467.77x = 9,715.47 × 4,630.69
  4. Step 4: Simplify right side
    6,467.77x = 44,989,305.49
  5. Step 5: Solve for x
    x = 44,989,305.49/6,467.77
  6. Step 6: Final answer
    x = 6,955.92

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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.