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Finding the Fourth Proportional to 7,096.36, 9,784.74 and 6,266.92

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Solution

The fourth proportional to 7,096.36, 9,784.74 and 6,266.92 is: 8,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.36 : 9,784.74 = 6,266.92 : x
  2. Step 2: Convert to fraction form
    7,096.36/9,784.74 = 6,266.92/x
  3. Step 3: Cross multiply
    7,096.36x = 9,784.74 × 6,266.92
  4. Step 4: Simplify right side
    7,096.36x = 61,320,182.80
  5. Step 5: Solve for x
    x = 61,320,182.80/7,096.36
  6. Step 6: Final answer
    x = 8,641.08

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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.