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Finding the Fourth Proportional to 6,463.68, 9,697.46 and 2,303.14

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Solution

The fourth proportional to 6,463.68, 9,697.46 and 2,303.14 is: 3,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.68 : 9,697.46 = 2,303.14 : x
  2. Step 2: Convert to fraction form
    6,463.68/9,697.46 = 2,303.14/x
  3. Step 3: Cross multiply
    6,463.68x = 9,697.46 × 2,303.14
  4. Step 4: Simplify right side
    6,463.68x = 22,334,596.51
  5. Step 5: Solve for x
    x = 22,334,596.51/6,463.68
  6. Step 6: Final answer
    x = 3,455.40

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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.