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Finding the Fourth Proportional to 9,705.77, 14,558.66 and 7,748.81

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Solution

The fourth proportional to 9,705.77, 14,558.66 and 7,748.81 is: 11,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.77 : 14,558.66 = 7,748.81 : x
  2. Step 2: Convert to fraction form
    9,705.77/14,558.66 = 7,748.81/x
  3. Step 3: Cross multiply
    9,705.77x = 14,558.66 × 7,748.81
  4. Step 4: Simplify right side
    9,705.77x = 112,812,290.19
  5. Step 5: Solve for x
    x = 112,812,290.19/9,705.77
  6. Step 6: Final answer
    x = 11,623.22

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Similar ratio
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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.