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Finding the Fourth Proportional to 9,706.92, 13,391.74 and 5,457

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Solution

The fourth proportional to 9,706.92, 13,391.74 and 5,457 is: 7,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.92 : 13,391.74 = 5,457 : x
  2. Step 2: Convert to fraction form
    9,706.92/13,391.74 = 5,457/x
  3. Step 3: Cross multiply
    9,706.92x = 13,391.74 × 5,457
  4. Step 4: Simplify right side
    9,706.92x = 73,078,725.18
  5. Step 5: Solve for x
    x = 73,078,725.18/9,706.92
  6. Step 6: Final answer
    x = 7,528.52

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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.