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Finding the Fourth Proportional to 8,656.63, 11,946.14 and 4,677.74

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Solution

The fourth proportional to 8,656.63, 11,946.14 and 4,677.74 is: 6,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.63 : 11,946.14 = 4,677.74 : x
  2. Step 2: Convert to fraction form
    8,656.63/11,946.14 = 4,677.74/x
  3. Step 3: Cross multiply
    8,656.63x = 11,946.14 × 4,677.74
  4. Step 4: Simplify right side
    8,656.63x = 55,880,853.80
  5. Step 5: Solve for x
    x = 55,880,853.80/8,656.63
  6. Step 6: Final answer
    x = 6,455.27

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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.