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Finding the Fourth Proportional to 8,323, 11,486.47 and 4,597.72

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Solution

The fourth proportional to 8,323, 11,486.47 and 4,597.72 is: 6,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 11,486.47 = 4,597.72 : x
  2. Step 2: Convert to fraction form
    8,323/11,486.47 = 4,597.72/x
  3. Step 3: Cross multiply
    8,323x = 11,486.47 × 4,597.72
  4. Step 4: Simplify right side
    8,323x = 52,811,572.85
  5. Step 5: Solve for x
    x = 52,811,572.85/8,323
  6. Step 6: Final answer
    x = 6,345.26

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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.