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Finding the Fourth Proportional to 11,597.58, 16,000.47 and 7,620.84

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Solution

The fourth proportional to 11,597.58, 16,000.47 and 7,620.84 is: 10,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.58 : 16,000.47 = 7,620.84 : x
  2. Step 2: Convert to fraction form
    11,597.58/16,000.47 = 7,620.84/x
  3. Step 3: Cross multiply
    11,597.58x = 16,000.47 × 7,620.84
  4. Step 4: Simplify right side
    11,597.58x = 121,937,021.79
  5. Step 5: Solve for x
    x = 121,937,021.79/11,597.58
  6. Step 6: Final answer
    x = 10,514.01

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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.