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Finding the Fourth Proportional to 10,688.50, 14,751.75 and 6,495.94

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Solution

The fourth proportional to 10,688.50, 14,751.75 and 6,495.94 is: 8,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.50 : 14,751.75 = 6,495.94 : x
  2. Step 2: Convert to fraction form
    10,688.50/14,751.75 = 6,495.94/x
  3. Step 3: Cross multiply
    10,688.50x = 14,751.75 × 6,495.94
  4. Step 4: Simplify right side
    10,688.50x = 95,826,482.90
  5. Step 5: Solve for x
    x = 95,826,482.90/10,688.50
  6. Step 6: Final answer
    x = 8,965.38

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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.