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Finding the Fourth Proportional to 6,385.16, 8,815.86 and 4,706.76

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Solution

The fourth proportional to 6,385.16, 8,815.86 and 4,706.76 is: 6,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.16 : 8,815.86 = 4,706.76 : x
  2. Step 2: Convert to fraction form
    6,385.16/8,815.86 = 4,706.76/x
  3. Step 3: Cross multiply
    6,385.16x = 8,815.86 × 4,706.76
  4. Step 4: Simplify right side
    6,385.16x = 41,494,137.21
  5. Step 5: Solve for x
    x = 41,494,137.21/6,385.16
  6. Step 6: Final answer
    x = 6,498.53

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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.