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Finding the Fourth Proportional to 11,602.77, 16,011.81 and 6,566.90

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Solution

The fourth proportional to 11,602.77, 16,011.81 and 6,566.90 is: 9,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.77 : 16,011.81 = 6,566.90 : x
  2. Step 2: Convert to fraction form
    11,602.77/16,011.81 = 6,566.90/x
  3. Step 3: Cross multiply
    11,602.77x = 16,011.81 × 6,566.90
  4. Step 4: Simplify right side
    11,602.77x = 105,147,955.09
  5. Step 5: Solve for x
    x = 105,147,955.09/11,602.77
  6. Step 6: Final answer
    x = 9,062.32

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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.