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Finding the Fourth Proportional to 6,898.40, 10,349.76 and 4,436

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Solution

The fourth proportional to 6,898.40, 10,349.76 and 4,436 is: 6,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.40 : 10,349.76 = 4,436 : x
  2. Step 2: Convert to fraction form
    6,898.40/10,349.76 = 4,436/x
  3. Step 3: Cross multiply
    6,898.40x = 10,349.76 × 4,436
  4. Step 4: Simplify right side
    6,898.40x = 45,911,535.36
  5. Step 5: Solve for x
    x = 45,911,535.36/6,898.40
  6. Step 6: Final answer
    x = 6,655.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.