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Finding the Fourth Proportional to 6,410.51, 9,631.18 and 6,056.49

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Solution

The fourth proportional to 6,410.51, 9,631.18 and 6,056.49 is: 9,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.51 : 9,631.18 = 6,056.49 : x
  2. Step 2: Convert to fraction form
    6,410.51/9,631.18 = 6,056.49/x
  3. Step 3: Cross multiply
    6,410.51x = 9,631.18 × 6,056.49
  4. Step 4: Simplify right side
    6,410.51x = 58,331,117.84
  5. Step 5: Solve for x
    x = 58,331,117.84/6,410.51
  6. Step 6: Final answer
    x = 9,099.30

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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.