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Finding the Fourth Proportional to 10,702.13, 14,768.93 and 5,986.51

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Solution

The fourth proportional to 10,702.13, 14,768.93 and 5,986.51 is: 8,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 14,768.93 = 5,986.51 : x
  2. Step 2: Convert to fraction form
    10,702.13/14,768.93 = 5,986.51/x
  3. Step 3: Cross multiply
    10,702.13x = 14,768.93 × 5,986.51
  4. Step 4: Simplify right side
    10,702.13x = 88,414,325.18
  5. Step 5: Solve for x
    x = 88,414,325.18/10,702.13
  6. Step 6: Final answer
    x = 8,261.38

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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.