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Finding the Fourth Proportional to 11,588.86, 15,988.86 and 6,552.59

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Solution

The fourth proportional to 11,588.86, 15,988.86 and 6,552.59 is: 9,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.86 : 15,988.86 = 6,552.59 : x
  2. Step 2: Convert to fraction form
    11,588.86/15,988.86 = 6,552.59/x
  3. Step 3: Cross multiply
    11,588.86x = 15,988.86 × 6,552.59
  4. Step 4: Simplify right side
    11,588.86x = 104,768,364.20
  5. Step 5: Solve for x
    x = 104,768,364.20/11,588.86
  6. Step 6: Final answer
    x = 9,040.44

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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.