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Finding the Fourth Proportional to 6,602.64, 9,881.63 and 6,424.94

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Solution

The fourth proportional to 6,602.64, 9,881.63 and 6,424.94 is: 9,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.64 : 9,881.63 = 6,424.94 : x
  2. Step 2: Convert to fraction form
    6,602.64/9,881.63 = 6,424.94/x
  3. Step 3: Cross multiply
    6,602.64x = 9,881.63 × 6,424.94
  4. Step 4: Simplify right side
    6,602.64x = 63,488,896.53
  5. Step 5: Solve for x
    x = 63,488,896.53/6,602.64
  6. Step 6: Final answer
    x = 9,615.69

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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.