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Finding the Fourth Proportional to 9,771.72, 14,657.38 and 2,376.22

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Solution

The fourth proportional to 9,771.72, 14,657.38 and 2,376.22 is: 3,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.72 : 14,657.38 = 2,376.22 : x
  2. Step 2: Convert to fraction form
    9,771.72/14,657.38 = 2,376.22/x
  3. Step 3: Cross multiply
    9,771.72x = 14,657.38 × 2,376.22
  4. Step 4: Simplify right side
    9,771.72x = 34,829,159.50
  5. Step 5: Solve for x
    x = 34,829,159.50/9,771.72
  6. Step 6: Final answer
    x = 3,564.28

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Double scale
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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.