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Finding the Fourth Proportional to 8,514, 11,741.76 and 5,526.99

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Solution

The fourth proportional to 8,514, 11,741.76 and 5,526.99 is: 7,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 11,741.76 = 5,526.99 : x
  2. Step 2: Convert to fraction form
    8,514/11,741.76 = 5,526.99/x
  3. Step 3: Cross multiply
    8,514x = 11,741.76 × 5,526.99
  4. Step 4: Simplify right side
    8,514x = 64,896,590.10
  5. Step 5: Solve for x
    x = 64,896,590.10/8,514
  6. Step 6: Final answer
    x = 7,622.34

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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.