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Finding the Fourth Proportional to 9,208.65, 12,702.51 and 6,516.84

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Solution

The fourth proportional to 9,208.65, 12,702.51 and 6,516.84 is: 8,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.65 : 12,702.51 = 6,516.84 : x
  2. Step 2: Convert to fraction form
    9,208.65/12,702.51 = 6,516.84/x
  3. Step 3: Cross multiply
    9,208.65x = 12,702.51 × 6,516.84
  4. Step 4: Simplify right side
    9,208.65x = 82,780,225.27
  5. Step 5: Solve for x
    x = 82,780,225.27/9,208.65
  6. Step 6: Final answer
    x = 8,989.40

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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.