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Finding the Fourth Proportional to 11,602.26, 16,010.88 and 6,566.39

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Solution

The fourth proportional to 11,602.26, 16,010.88 and 6,566.39 is: 9,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.26 : 16,010.88 = 6,566.39 : x
  2. Step 2: Convert to fraction form
    11,602.26/16,010.88 = 6,566.39/x
  3. Step 3: Cross multiply
    11,602.26x = 16,010.88 × 6,566.39
  4. Step 4: Simplify right side
    11,602.26x = 105,133,682.32
  5. Step 5: Solve for x
    x = 105,133,682.32/11,602.26
  6. Step 6: Final answer
    x = 9,061.48

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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.