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Finding the Fourth Proportional to 9,494.99, 13,085.69 and 6,302.65

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Solution

The fourth proportional to 9,494.99, 13,085.69 and 6,302.65 is: 8,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.99 : 13,085.69 = 6,302.65 : x
  2. Step 2: Convert to fraction form
    9,494.99/13,085.69 = 6,302.65/x
  3. Step 3: Cross multiply
    9,494.99x = 13,085.69 × 6,302.65
  4. Step 4: Simplify right side
    9,494.99x = 82,474,427.14
  5. Step 5: Solve for x
    x = 82,474,427.14/9,494.99
  6. Step 6: Final answer
    x = 8,686.10

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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.