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Finding the Fourth Proportional to 15,698.25, 21,663 and 8,527.86

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Solution

The fourth proportional to 15,698.25, 21,663 and 8,527.86 is: 11,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.25 : 21,663 = 8,527.86 : x
  2. Step 2: Convert to fraction form
    15,698.25/21,663 = 8,527.86/x
  3. Step 3: Cross multiply
    15,698.25x = 21,663 × 8,527.86
  4. Step 4: Simplify right side
    15,698.25x = 184,739,031.18
  5. Step 5: Solve for x
    x = 184,739,031.18/15,698.25
  6. Step 6: Final answer
    x = 11,768.13

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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.