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Finding the Fourth Proportional to 6,950.92, 10,427.46 and 2,335

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Solution

The fourth proportional to 6,950.92, 10,427.46 and 2,335 is: 3,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.92 : 10,427.46 = 2,335 : x
  2. Step 2: Convert to fraction form
    6,950.92/10,427.46 = 2,335/x
  3. Step 3: Cross multiply
    6,950.92x = 10,427.46 × 2,335
  4. Step 4: Simplify right side
    6,950.92x = 24,348,119.10
  5. Step 5: Solve for x
    x = 24,348,119.10/6,950.92
  6. Step 6: Final answer
    x = 3,502.86

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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.