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Finding the Fourth Proportional to 10,702.86, 14,771.06 and 6,165.70

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Solution

The fourth proportional to 10,702.86, 14,771.06 and 6,165.70 is: 8,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.86 : 14,771.06 = 6,165.70 : x
  2. Step 2: Convert to fraction form
    10,702.86/14,771.06 = 6,165.70/x
  3. Step 3: Cross multiply
    10,702.86x = 14,771.06 × 6,165.70
  4. Step 4: Simplify right side
    10,702.86x = 91,073,924.64
  5. Step 5: Solve for x
    x = 91,073,924.64/10,702.86
  6. Step 6: Final answer
    x = 8,509.31

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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.