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Finding the Fourth Proportional to 9,518, 14,281.86 and 4,254.62

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Solution

The fourth proportional to 9,518, 14,281.86 and 4,254.62 is: 6,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518 : 14,281.86 = 4,254.62 : x
  2. Step 2: Convert to fraction form
    9,518/14,281.86 = 4,254.62/x
  3. Step 3: Cross multiply
    9,518x = 14,281.86 × 4,254.62
  4. Step 4: Simplify right side
    9,518x = 60,763,887.19
  5. Step 5: Solve for x
    x = 60,763,887.19/9,518
  6. Step 6: Final answer
    x = 6,384.10

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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.