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Finding the Fourth Proportional to 9,771.49, 14,657.24 and 2,751.50

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Solution

The fourth proportional to 9,771.49, 14,657.24 and 2,751.50 is: 4,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.49 : 14,657.24 = 2,751.50 : x
  2. Step 2: Convert to fraction form
    9,771.49/14,657.24 = 2,751.50/x
  3. Step 3: Cross multiply
    9,771.49x = 14,657.24 × 2,751.50
  4. Step 4: Simplify right side
    9,771.49x = 40,329,423.90
  5. Step 5: Solve for x
    x = 40,329,423.90/9,771.49
  6. Step 6: Final answer
    x = 4,127.25

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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.