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Finding the Fourth Proportional to 6,464.67, 9,697.90 and 2,303.45

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Solution

The fourth proportional to 6,464.67, 9,697.90 and 2,303.45 is: 3,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.67 : 9,697.90 = 2,303.45 : x
  2. Step 2: Convert to fraction form
    6,464.67/9,697.90 = 2,303.45/x
  3. Step 3: Cross multiply
    6,464.67x = 9,697.90 × 2,303.45
  4. Step 4: Simplify right side
    6,464.67x = 22,338,627.76
  5. Step 5: Solve for x
    x = 22,338,627.76/6,464.67
  6. Step 6: Final answer
    x = 3,455.49

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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.