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Finding the Fourth Proportional to 11,783.50, 16,254.74 and 7,468.70

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Solution

The fourth proportional to 11,783.50, 16,254.74 and 7,468.70 is: 10,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.50 : 16,254.74 = 7,468.70 : x
  2. Step 2: Convert to fraction form
    11,783.50/16,254.74 = 7,468.70/x
  3. Step 3: Cross multiply
    11,783.50x = 16,254.74 × 7,468.70
  4. Step 4: Simplify right side
    11,783.50x = 121,401,776.64
  5. Step 5: Solve for x
    x = 121,401,776.64/11,783.50
  6. Step 6: Final answer
    x = 10,302.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.