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Finding the Fourth Proportional to 8,307, 11,462.54 and 4,769.56

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Solution

The fourth proportional to 8,307, 11,462.54 and 4,769.56 is: 6,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307 : 11,462.54 = 4,769.56 : x
  2. Step 2: Convert to fraction form
    8,307/11,462.54 = 4,769.56/x
  3. Step 3: Cross multiply
    8,307x = 11,462.54 × 4,769.56
  4. Step 4: Simplify right side
    8,307x = 54,671,272.28
  5. Step 5: Solve for x
    x = 54,671,272.28/8,307
  6. Step 6: Final answer
    x = 6,581.35

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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.