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Finding the Fourth Proportional to 4,633.46, 6,957.11 and 4,564.26

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Solution

The fourth proportional to 4,633.46, 6,957.11 and 4,564.26 is: 6,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.46 : 6,957.11 = 4,564.26 : x
  2. Step 2: Convert to fraction form
    4,633.46/6,957.11 = 4,564.26/x
  3. Step 3: Cross multiply
    4,633.46x = 6,957.11 × 4,564.26
  4. Step 4: Simplify right side
    4,633.46x = 31,754,036.07
  5. Step 5: Solve for x
    x = 31,754,036.07/4,633.46
  6. Step 6: Final answer
    x = 6,853.21

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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.