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Finding the Fourth Proportional to 9,652.26, 13,331.04 and 6,502.98

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Solution

The fourth proportional to 9,652.26, 13,331.04 and 6,502.98 is: 8,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.26 : 13,331.04 = 6,502.98 : x
  2. Step 2: Convert to fraction form
    9,652.26/13,331.04 = 6,502.98/x
  3. Step 3: Cross multiply
    9,652.26x = 13,331.04 × 6,502.98
  4. Step 4: Simplify right side
    9,652.26x = 86,691,486.50
  5. Step 5: Solve for x
    x = 86,691,486.50/9,652.26
  6. Step 6: Final answer
    x = 8,981.47

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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.