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Finding the Fourth Proportional to 9,901.76, 13,664.02 and 5,925.06

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Solution

The fourth proportional to 9,901.76, 13,664.02 and 5,925.06 is: 8,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.76 : 13,664.02 = 5,925.06 : x
  2. Step 2: Convert to fraction form
    9,901.76/13,664.02 = 5,925.06/x
  3. Step 3: Cross multiply
    9,901.76x = 13,664.02 × 5,925.06
  4. Step 4: Simplify right side
    9,901.76x = 80,960,174.68
  5. Step 5: Solve for x
    x = 80,960,174.68/9,901.76
  6. Step 6: Final answer
    x = 8,176.34

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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.