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Finding the Fourth Proportional to 8,501.46, 11,731.92 and 4,775.46

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Solution

The fourth proportional to 8,501.46, 11,731.92 and 4,775.46 is: 6,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.46 : 11,731.92 = 4,775.46 : x
  2. Step 2: Convert to fraction form
    8,501.46/11,731.92 = 4,775.46/x
  3. Step 3: Cross multiply
    8,501.46x = 11,731.92 × 4,775.46
  4. Step 4: Simplify right side
    8,501.46x = 56,025,314.68
  5. Step 5: Solve for x
    x = 56,025,314.68/8,501.46
  6. Step 6: Final answer
    x = 6,590.08

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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.