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Finding the Fourth Proportional to 4,673.16, 6,461.28 and 4,466.61

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Solution

The fourth proportional to 4,673.16, 6,461.28 and 4,466.61 is: 6,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.16 : 6,461.28 = 4,466.61 : x
  2. Step 2: Convert to fraction form
    4,673.16/6,461.28 = 4,466.61/x
  3. Step 3: Cross multiply
    4,673.16x = 6,461.28 × 4,466.61
  4. Step 4: Simplify right side
    4,673.16x = 28,860,017.86
  5. Step 5: Solve for x
    x = 28,860,017.86/4,673.16
  6. Step 6: Final answer
    x = 6,175.70

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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.