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Finding the Fourth Proportional to 6,846.83, 9,444.65 and 4,719.06

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Solution

The fourth proportional to 6,846.83, 9,444.65 and 4,719.06 is: 6,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.83 : 9,444.65 = 4,719.06 : x
  2. Step 2: Convert to fraction form
    6,846.83/9,444.65 = 4,719.06/x
  3. Step 3: Cross multiply
    6,846.83x = 9,444.65 × 4,719.06
  4. Step 4: Simplify right side
    6,846.83x = 44,569,872.98
  5. Step 5: Solve for x
    x = 44,569,872.98/6,846.83
  6. Step 6: Final answer
    x = 6,509.56

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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.