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Finding the Fourth Proportional to 6,531.26, 9,012.94 and 4,770.32

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Solution

The fourth proportional to 6,531.26, 9,012.94 and 4,770.32 is: 6,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.26 : 9,012.94 = 4,770.32 : x
  2. Step 2: Convert to fraction form
    6,531.26/9,012.94 = 4,770.32/x
  3. Step 3: Cross multiply
    6,531.26x = 9,012.94 × 4,770.32
  4. Step 4: Simplify right side
    6,531.26x = 42,994,550.95
  5. Step 5: Solve for x
    x = 42,994,550.95/6,531.26
  6. Step 6: Final answer
    x = 6,582.89

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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.