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Finding the Fourth Proportional to 9,384.96, 14,017.49 and 8,494.13

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Solution

The fourth proportional to 9,384.96, 14,017.49 and 8,494.13 is: 12,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.96 : 14,017.49 = 8,494.13 : x
  2. Step 2: Convert to fraction form
    9,384.96/14,017.49 = 8,494.13/x
  3. Step 3: Cross multiply
    9,384.96x = 14,017.49 × 8,494.13
  4. Step 4: Simplify right side
    9,384.96x = 119,066,382.33
  5. Step 5: Solve for x
    x = 119,066,382.33/9,384.96
  6. Step 6: Final answer
    x = 12,686.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.