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Finding the Fourth Proportional to 9,302.61, 12,834.05 and 6,117.59

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Solution

The fourth proportional to 9,302.61, 12,834.05 and 6,117.59 is: 8,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.61 : 12,834.05 = 6,117.59 : x
  2. Step 2: Convert to fraction form
    9,302.61/12,834.05 = 6,117.59/x
  3. Step 3: Cross multiply
    9,302.61x = 12,834.05 × 6,117.59
  4. Step 4: Simplify right side
    9,302.61x = 78,513,457.44
  5. Step 5: Solve for x
    x = 78,513,457.44/9,302.61
  6. Step 6: Final answer
    x = 8,439.94

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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.