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Finding the Fourth Proportional to 9,749.72, 14,630.16 and 9,670.44

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Solution

The fourth proportional to 9,749.72, 14,630.16 and 9,670.44 is: 14,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.72 : 14,630.16 = 9,670.44 : x
  2. Step 2: Convert to fraction form
    9,749.72/14,630.16 = 9,670.44/x
  3. Step 3: Cross multiply
    9,749.72x = 14,630.16 × 9,670.44
  4. Step 4: Simplify right side
    9,749.72x = 141,480,084.47
  5. Step 5: Solve for x
    x = 141,480,084.47/9,749.72
  6. Step 6: Final answer
    x = 14,511.19

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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.