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Finding the Fourth Proportional to 8,461.96, 12,697.74 and 4,566.28

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Solution

The fourth proportional to 8,461.96, 12,697.74 and 4,566.28 is: 6,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.96 : 12,697.74 = 4,566.28 : x
  2. Step 2: Convert to fraction form
    8,461.96/12,697.74 = 4,566.28/x
  3. Step 3: Cross multiply
    8,461.96x = 12,697.74 × 4,566.28
  4. Step 4: Simplify right side
    8,461.96x = 57,981,436.21
  5. Step 5: Solve for x
    x = 57,981,436.21/8,461.96
  6. Step 6: Final answer
    x = 6,852.01

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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.