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Finding the Fourth Proportional to 11,597.21, 16,017.21 and 7,835.91

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Solution

The fourth proportional to 11,597.21, 16,017.21 and 7,835.91 is: 10,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.21 : 16,017.21 = 7,835.91 : x
  2. Step 2: Convert to fraction form
    11,597.21/16,017.21 = 7,835.91/x
  3. Step 3: Cross multiply
    11,597.21x = 16,017.21 × 7,835.91
  4. Step 4: Simplify right side
    11,597.21x = 125,509,416.01
  5. Step 5: Solve for x
    x = 125,509,416.01/11,597.21
  6. Step 6: Final answer
    x = 10,822.38

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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.