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Finding the Fourth Proportional to 6,460.84, 8,924.74 and 5,062.22

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Solution

The fourth proportional to 6,460.84, 8,924.74 and 5,062.22 is: 6,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.84 : 8,924.74 = 5,062.22 : x
  2. Step 2: Convert to fraction form
    6,460.84/8,924.74 = 5,062.22/x
  3. Step 3: Cross multiply
    6,460.84x = 8,924.74 × 5,062.22
  4. Step 4: Simplify right side
    6,460.84x = 45,178,997.32
  5. Step 5: Solve for x
    x = 45,178,997.32/6,460.84
  6. Step 6: Final answer
    x = 6,992.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.