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Finding the Fourth Proportional to 10,657.80, 14,710.86 and 6,183.60

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Solution

The fourth proportional to 10,657.80, 14,710.86 and 6,183.60 is: 8,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.80 : 14,710.86 = 6,183.60 : x
  2. Step 2: Convert to fraction form
    10,657.80/14,710.86 = 6,183.60/x
  3. Step 3: Cross multiply
    10,657.80x = 14,710.86 × 6,183.60
  4. Step 4: Simplify right side
    10,657.80x = 90,966,073.90
  5. Step 5: Solve for x
    x = 90,966,073.90/10,657.80
  6. Step 6: Final answer
    x = 8,535.16

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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.