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Finding the Fourth Proportional to 7,674.63, 10,590.13 and 4,317.37

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Solution

The fourth proportional to 7,674.63, 10,590.13 and 4,317.37 is: 5,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.63 : 10,590.13 = 4,317.37 : x
  2. Step 2: Convert to fraction form
    7,674.63/10,590.13 = 4,317.37/x
  3. Step 3: Cross multiply
    7,674.63x = 10,590.13 × 4,317.37
  4. Step 4: Simplify right side
    7,674.63x = 45,721,499.99
  5. Step 5: Solve for x
    x = 45,721,499.99/7,674.63
  6. Step 6: Final answer
    x = 5,957.49

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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.