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Finding the Fourth Proportional to 7,083.64, 10,624.92 and 2,466.64

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Solution

The fourth proportional to 7,083.64, 10,624.92 and 2,466.64 is: 3,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.64 : 10,624.92 = 2,466.64 : x
  2. Step 2: Convert to fraction form
    7,083.64/10,624.92 = 2,466.64/x
  3. Step 3: Cross multiply
    7,083.64x = 10,624.92 × 2,466.64
  4. Step 4: Simplify right side
    7,083.64x = 26,207,852.67
  5. Step 5: Solve for x
    x = 26,207,852.67/7,083.64
  6. Step 6: Final answer
    x = 3,699.77

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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.