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Finding the Fourth Proportional to 6,335.70, 8,734.95 and 4,567.74

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Solution

The fourth proportional to 6,335.70, 8,734.95 and 4,567.74 is: 6,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.70 : 8,734.95 = 4,567.74 : x
  2. Step 2: Convert to fraction form
    6,335.70/8,734.95 = 4,567.74/x
  3. Step 3: Cross multiply
    6,335.70x = 8,734.95 × 4,567.74
  4. Step 4: Simplify right side
    6,335.70x = 39,898,980.51
  5. Step 5: Solve for x
    x = 39,898,980.51/6,335.70
  6. Step 6: Final answer
    x = 6,297.49

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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.