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Finding the Fourth Proportional to 9,632.40, 13,277.16 and 8,077.20

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Solution

The fourth proportional to 9,632.40, 13,277.16 and 8,077.20 is: 11,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.40 : 13,277.16 = 8,077.20 : x
  2. Step 2: Convert to fraction form
    9,632.40/13,277.16 = 8,077.20/x
  3. Step 3: Cross multiply
    9,632.40x = 13,277.16 × 8,077.20
  4. Step 4: Simplify right side
    9,632.40x = 107,242,276.75
  5. Step 5: Solve for x
    x = 107,242,276.75/9,632.40
  6. Step 6: Final answer
    x = 11,133.49

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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.