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Finding the Fourth Proportional to 11,601.76, 16,005.95 and 6,564.83

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Solution

The fourth proportional to 11,601.76, 16,005.95 and 6,564.83 is: 9,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.76 : 16,005.95 = 6,564.83 : x
  2. Step 2: Convert to fraction form
    11,601.76/16,005.95 = 6,564.83/x
  3. Step 3: Cross multiply
    11,601.76x = 16,005.95 × 6,564.83
  4. Step 4: Simplify right side
    11,601.76x = 105,076,340.74
  5. Step 5: Solve for x
    x = 105,076,340.74/11,601.76
  6. Step 6: Final answer
    x = 9,056.93

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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.