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Finding the Fourth Proportional to 12,495, 18,742.50 and 6,339

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Solution

The fourth proportional to 12,495, 18,742.50 and 6,339 is: 9,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495 : 18,742.50 = 6,339 : x
  2. Step 2: Convert to fraction form
    12,495/18,742.50 = 6,339/x
  3. Step 3: Cross multiply
    12,495x = 18,742.50 × 6,339
  4. Step 4: Simplify right side
    12,495x = 118,808,707.50
  5. Step 5: Solve for x
    x = 118,808,707.50/12,495
  6. Step 6: Final answer
    x = 9,508.50

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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.