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Finding the Fourth Proportional to 10,602.85, 14,630.88 and 5,886.64

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Solution

The fourth proportional to 10,602.85, 14,630.88 and 5,886.64 is: 8,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.85 : 14,630.88 = 5,886.64 : x
  2. Step 2: Convert to fraction form
    10,602.85/14,630.88 = 5,886.64/x
  3. Step 3: Cross multiply
    10,602.85x = 14,630.88 × 5,886.64
  4. Step 4: Simplify right side
    10,602.85x = 86,126,723.44
  5. Step 5: Solve for x
    x = 86,126,723.44/10,602.85
  6. Step 6: Final answer
    x = 8,122.98

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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.