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Finding the Fourth Proportional to 11,653.65, 17,461.04 and 8,184.69

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Solution

The fourth proportional to 11,653.65, 17,461.04 and 8,184.69 is: 12,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.65 : 17,461.04 = 8,184.69 : x
  2. Step 2: Convert to fraction form
    11,653.65/17,461.04 = 8,184.69/x
  3. Step 3: Cross multiply
    11,653.65x = 17,461.04 × 8,184.69
  4. Step 4: Simplify right side
    11,653.65x = 142,913,158.55
  5. Step 5: Solve for x
    x = 142,913,158.55/11,653.65
  6. Step 6: Final answer
    x = 12,263.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.