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Finding the Fourth Proportional to 6,402.58, 9,605.16 and 2,453.68

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Solution

The fourth proportional to 6,402.58, 9,605.16 and 2,453.68 is: 3,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.58 : 9,605.16 = 2,453.68 : x
  2. Step 2: Convert to fraction form
    6,402.58/9,605.16 = 2,453.68/x
  3. Step 3: Cross multiply
    6,402.58x = 9,605.16 × 2,453.68
  4. Step 4: Simplify right side
    6,402.58x = 23,567,980.59
  5. Step 5: Solve for x
    x = 23,567,980.59/6,402.58
  6. Step 6: Final answer
    x = 3,681.01

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1.5x scale

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.