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Finding the Fourth Proportional to 9,599.66, 14,407.41 and 7,421.66

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Solution

The fourth proportional to 9,599.66, 14,407.41 and 7,421.66 is: 11,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.66 : 14,407.41 = 7,421.66 : x
  2. Step 2: Convert to fraction form
    9,599.66/14,407.41 = 7,421.66/x
  3. Step 3: Cross multiply
    9,599.66x = 14,407.41 × 7,421.66
  4. Step 4: Simplify right side
    9,599.66x = 106,926,898.50
  5. Step 5: Solve for x
    x = 106,926,898.50/9,599.66
  6. Step 6: Final answer
    x = 11,138.61

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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.