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Finding the Fourth Proportional to 8,364.61, 11,542.90 and 4,587.74

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Solution

The fourth proportional to 8,364.61, 11,542.90 and 4,587.74 is: 6,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.61 : 11,542.90 = 4,587.74 : x
  2. Step 2: Convert to fraction form
    8,364.61/11,542.90 = 4,587.74/x
  3. Step 3: Cross multiply
    8,364.61x = 11,542.90 × 4,587.74
  4. Step 4: Simplify right side
    8,364.61x = 52,955,743.39
  5. Step 5: Solve for x
    x = 52,955,743.39/8,364.61
  6. Step 6: Final answer
    x = 6,330.93

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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.