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Finding the Fourth Proportional to 8,614.64, 11,885.10 and 4,886.48

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Solution

The fourth proportional to 8,614.64, 11,885.10 and 4,886.48 is: 6,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.64 : 11,885.10 = 4,886.48 : x
  2. Step 2: Convert to fraction form
    8,614.64/11,885.10 = 4,886.48/x
  3. Step 3: Cross multiply
    8,614.64x = 11,885.10 × 4,886.48
  4. Step 4: Simplify right side
    8,614.64x = 58,076,314.84
  5. Step 5: Solve for x
    x = 58,076,314.84/8,614.64
  6. Step 6: Final answer
    x = 6,741.58

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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.