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Finding the Fourth Proportional to 9,184.94, 12,674.94 and 5,407.24

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Solution

The fourth proportional to 9,184.94, 12,674.94 and 5,407.24 is: 7,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.94 : 12,674.94 = 5,407.24 : x
  2. Step 2: Convert to fraction form
    9,184.94/12,674.94 = 5,407.24/x
  3. Step 3: Cross multiply
    9,184.94x = 12,674.94 × 5,407.24
  4. Step 4: Simplify right side
    9,184.94x = 68,536,379.19
  5. Step 5: Solve for x
    x = 68,536,379.19/9,184.94
  6. Step 6: Final answer
    x = 7,461.82

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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.