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Finding the Fourth Proportional to 8,783.51, 13,163.76 and 7,670.12

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Solution

The fourth proportional to 8,783.51, 13,163.76 and 7,670.12 is: 11,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.51 : 13,163.76 = 7,670.12 : x
  2. Step 2: Convert to fraction form
    8,783.51/13,163.76 = 7,670.12/x
  3. Step 3: Cross multiply
    8,783.51x = 13,163.76 × 7,670.12
  4. Step 4: Simplify right side
    8,783.51x = 100,967,618.85
  5. Step 5: Solve for x
    x = 100,967,618.85/8,783.51
  6. Step 6: Final answer
    x = 11,495.13

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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.