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Finding the Fourth Proportional to 4,644.26, 6,972.63 and 4,595.30

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Solution

The fourth proportional to 4,644.26, 6,972.63 and 4,595.30 is: 6,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.26 : 6,972.63 = 4,595.30 : x
  2. Step 2: Convert to fraction form
    4,644.26/6,972.63 = 4,595.30/x
  3. Step 3: Cross multiply
    4,644.26x = 6,972.63 × 4,595.30
  4. Step 4: Simplify right side
    4,644.26x = 32,041,326.64
  5. Step 5: Solve for x
    x = 32,041,326.64/4,644.26
  6. Step 6: Final answer
    x = 6,899.12

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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.