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Finding the Fourth Proportional to 9,421.64, 13,000.12 and 6,063.72

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Solution

The fourth proportional to 9,421.64, 13,000.12 and 6,063.72 is: 8,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.64 : 13,000.12 = 6,063.72 : x
  2. Step 2: Convert to fraction form
    9,421.64/13,000.12 = 6,063.72/x
  3. Step 3: Cross multiply
    9,421.64x = 13,000.12 × 6,063.72
  4. Step 4: Simplify right side
    9,421.64x = 78,829,087.65
  5. Step 5: Solve for x
    x = 78,829,087.65/9,421.64
  6. Step 6: Final answer
    x = 8,366.81

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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.