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Finding the Fourth Proportional to 8,306.59, 11,462.93 and 4,580.59

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Solution

The fourth proportional to 8,306.59, 11,462.93 and 4,580.59 is: 6,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.59 : 11,462.93 = 4,580.59 : x
  2. Step 2: Convert to fraction form
    8,306.59/11,462.93 = 4,580.59/x
  3. Step 3: Cross multiply
    8,306.59x = 11,462.93 × 4,580.59
  4. Step 4: Simplify right side
    8,306.59x = 52,506,959.63
  5. Step 5: Solve for x
    x = 52,506,959.63/8,306.59
  6. Step 6: Final answer
    x = 6,321.12

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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.