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Finding the Fourth Proportional to 6,403.02, 9,597.95 and 2,453.34

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Solution

The fourth proportional to 6,403.02, 9,597.95 and 2,453.34 is: 3,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.02 : 9,597.95 = 2,453.34 : x
  2. Step 2: Convert to fraction form
    6,403.02/9,597.95 = 2,453.34/x
  3. Step 3: Cross multiply
    6,403.02x = 9,597.95 × 2,453.34
  4. Step 4: Simplify right side
    6,403.02x = 23,547,022.39
  5. Step 5: Solve for x
    x = 23,547,022.39/6,403.02
  6. Step 6: Final answer
    x = 3,677.49

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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.