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Finding the Fourth Proportional to 6,258, 8,636.18 and 3,463.50

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Solution

The fourth proportional to 6,258, 8,636.18 and 3,463.50 is: 4,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258 : 8,636.18 = 3,463.50 : x
  2. Step 2: Convert to fraction form
    6,258/8,636.18 = 3,463.50/x
  3. Step 3: Cross multiply
    6,258x = 8,636.18 × 3,463.50
  4. Step 4: Simplify right side
    6,258x = 29,911,392.11
  5. Step 5: Solve for x
    x = 29,911,392.11/6,258
  6. Step 6: Final answer
    x = 4,779.70

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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.