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Finding the Fourth Proportional to 6,688.40, 9,238.80 and 5,135.68

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Solution

The fourth proportional to 6,688.40, 9,238.80 and 5,135.68 is: 7,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.40 : 9,238.80 = 5,135.68 : x
  2. Step 2: Convert to fraction form
    6,688.40/9,238.80 = 5,135.68/x
  3. Step 3: Cross multiply
    6,688.40x = 9,238.80 × 5,135.68
  4. Step 4: Simplify right side
    6,688.40x = 47,447,520.38
  5. Step 5: Solve for x
    x = 47,447,520.38/6,688.40
  6. Step 6: Final answer
    x = 7,094.00

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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.