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Finding the Fourth Proportional to 9,935.76, 13,709.08 and 5,957.60

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Solution

The fourth proportional to 9,935.76, 13,709.08 and 5,957.60 is: 8,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.76 : 13,709.08 = 5,957.60 : x
  2. Step 2: Convert to fraction form
    9,935.76/13,709.08 = 5,957.60/x
  3. Step 3: Cross multiply
    9,935.76x = 13,709.08 × 5,957.60
  4. Step 4: Simplify right side
    9,935.76x = 81,673,215.01
  5. Step 5: Solve for x
    x = 81,673,215.01/9,935.76
  6. Step 6: Final answer
    x = 8,220.13

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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.