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Finding the Fourth Proportional to 11,602.55, 16,008.78 and 6,566.77

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Solution

The fourth proportional to 11,602.55, 16,008.78 and 6,566.77 is: 9,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.55 : 16,008.78 = 6,566.77 : x
  2. Step 2: Convert to fraction form
    11,602.55/16,008.78 = 6,566.77/x
  3. Step 3: Cross multiply
    11,602.55x = 16,008.78 × 6,566.77
  4. Step 4: Simplify right side
    11,602.55x = 105,125,991.64
  5. Step 5: Solve for x
    x = 105,125,991.64/11,602.55
  6. Step 6: Final answer
    x = 9,060.59

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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.