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Finding the Fourth Proportional to 9,193.68, 12,688.02 and 7,699.03

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Solution

The fourth proportional to 9,193.68, 12,688.02 and 7,699.03 is: 10,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.68 : 12,688.02 = 7,699.03 : x
  2. Step 2: Convert to fraction form
    9,193.68/12,688.02 = 7,699.03/x
  3. Step 3: Cross multiply
    9,193.68x = 12,688.02 × 7,699.03
  4. Step 4: Simplify right side
    9,193.68x = 97,685,414.90
  5. Step 5: Solve for x
    x = 97,685,414.90/9,193.68
  6. Step 6: Final answer
    x = 10,625.28

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1.5x scale

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.