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Finding the Fourth Proportional to 7,826.88, 10,805.76 and 6,952.08

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Solution

The fourth proportional to 7,826.88, 10,805.76 and 6,952.08 is: 9,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.88 : 10,805.76 = 6,952.08 : x
  2. Step 2: Convert to fraction form
    7,826.88/10,805.76 = 6,952.08/x
  3. Step 3: Cross multiply
    7,826.88x = 10,805.76 × 6,952.08
  4. Step 4: Simplify right side
    7,826.88x = 75,122,507.98
  5. Step 5: Solve for x
    x = 75,122,507.98/7,826.88
  6. Step 6: Final answer
    x = 9,598.01

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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.