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Finding the Fourth Proportional to 8,509.72, 11,741.56 and 4,971.32

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Solution

The fourth proportional to 8,509.72, 11,741.56 and 4,971.32 is: 6,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.72 : 11,741.56 = 4,971.32 : x
  2. Step 2: Convert to fraction form
    8,509.72/11,741.56 = 4,971.32/x
  3. Step 3: Cross multiply
    8,509.72x = 11,741.56 × 4,971.32
  4. Step 4: Simplify right side
    8,509.72x = 58,371,052.06
  5. Step 5: Solve for x
    x = 58,371,052.06/8,509.72
  6. Step 6: Final answer
    x = 6,859.34

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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.