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Finding the Fourth Proportional to 7,843.10, 10,818.02 and 6,656.00

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Solution

The fourth proportional to 7,843.10, 10,818.02 and 6,656.00 is: 9,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.10 : 10,818.02 = 6,656.00 : x
  2. Step 2: Convert to fraction form
    7,843.10/10,818.02 = 6,656.00/x
  3. Step 3: Cross multiply
    7,843.10x = 10,818.02 × 6,656.00
  4. Step 4: Simplify right side
    7,843.10x = 72,004,653.75
  5. Step 5: Solve for x
    x = 72,004,653.75/7,843.10
  6. Step 6: Final answer
    x = 9,180.64

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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.