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Finding the Fourth Proportional to 9,214.92, 12,706.74 and 6,065.64

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Solution

The fourth proportional to 9,214.92, 12,706.74 and 6,065.64 is: 8,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.92 : 12,706.74 = 6,065.64 : x
  2. Step 2: Convert to fraction form
    9,214.92/12,706.74 = 6,065.64/x
  3. Step 3: Cross multiply
    9,214.92x = 12,706.74 × 6,065.64
  4. Step 4: Simplify right side
    9,214.92x = 77,074,510.41
  5. Step 5: Solve for x
    x = 77,074,510.41/9,214.92
  6. Step 6: Final answer
    x = 8,364.10

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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.