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Finding the Fourth Proportional to 9,767.51, 14,631.65 and 4,495.16

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Solution

The fourth proportional to 9,767.51, 14,631.65 and 4,495.16 is: 6,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.51 : 14,631.65 = 4,495.16 : x
  2. Step 2: Convert to fraction form
    9,767.51/14,631.65 = 4,495.16/x
  3. Step 3: Cross multiply
    9,767.51x = 14,631.65 × 4,495.16
  4. Step 4: Simplify right side
    9,767.51x = 65,771,512.18
  5. Step 5: Solve for x
    x = 65,771,512.18/9,767.51
  6. Step 6: Final answer
    x = 6,733.71

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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.