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Finding the Fourth Proportional to 6,953.99, 9,596.38 and 3,810.16

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Solution

The fourth proportional to 6,953.99, 9,596.38 and 3,810.16 is: 5,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.99 : 9,596.38 = 3,810.16 : x
  2. Step 2: Convert to fraction form
    6,953.99/9,596.38 = 3,810.16/x
  3. Step 3: Cross multiply
    6,953.99x = 9,596.38 × 3,810.16
  4. Step 4: Simplify right side
    6,953.99x = 36,563,676.19
  5. Step 5: Solve for x
    x = 36,563,676.19/6,953.99
  6. Step 6: Final answer
    x = 5,257.94

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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.