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Finding the Fourth Proportional to 9,781.76, 14,653.74 and 6,085.46

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Solution

The fourth proportional to 9,781.76, 14,653.74 and 6,085.46 is: 9,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.76 : 14,653.74 = 6,085.46 : x
  2. Step 2: Convert to fraction form
    9,781.76/14,653.74 = 6,085.46/x
  3. Step 3: Cross multiply
    9,781.76x = 14,653.74 × 6,085.46
  4. Step 4: Simplify right side
    9,781.76x = 89,174,748.62
  5. Step 5: Solve for x
    x = 89,174,748.62/9,781.76
  6. Step 6: Final answer
    x = 9,116.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.