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Finding the Fourth Proportional to 6,900.78, 10,335.06 and 5,047.23

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Solution

The fourth proportional to 6,900.78, 10,335.06 and 5,047.23 is: 7,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.78 : 10,335.06 = 5,047.23 : x
  2. Step 2: Convert to fraction form
    6,900.78/10,335.06 = 5,047.23/x
  3. Step 3: Cross multiply
    6,900.78x = 10,335.06 × 5,047.23
  4. Step 4: Simplify right side
    6,900.78x = 52,163,424.88
  5. Step 5: Solve for x
    x = 52,163,424.88/6,900.78
  6. Step 6: Final answer
    x = 7,559.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.