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Finding the Fourth Proportional to 8,657.10, 11,946.77 and 4,678.21

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Solution

The fourth proportional to 8,657.10, 11,946.77 and 4,678.21 is: 6,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.10 : 11,946.77 = 4,678.21 : x
  2. Step 2: Convert to fraction form
    8,657.10/11,946.77 = 4,678.21/x
  3. Step 3: Cross multiply
    8,657.10x = 11,946.77 × 4,678.21
  4. Step 4: Simplify right side
    8,657.10x = 55,889,498.88
  5. Step 5: Solve for x
    x = 55,889,498.88/8,657.10
  6. Step 6: Final answer
    x = 6,455.91

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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.