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Finding the Fourth Proportional to 10,597.14, 14,601.66 and 8,702.34

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Solution

The fourth proportional to 10,597.14, 14,601.66 and 8,702.34 is: 11,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.14 : 14,601.66 = 8,702.34 : x
  2. Step 2: Convert to fraction form
    10,597.14/14,601.66 = 8,702.34/x
  3. Step 3: Cross multiply
    10,597.14x = 14,601.66 × 8,702.34
  4. Step 4: Simplify right side
    10,597.14x = 127,068,609.88
  5. Step 5: Solve for x
    x = 127,068,609.88/10,597.14
  6. Step 6: Final answer
    x = 11,990.84

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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.