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Finding the Fourth Proportional to 9,230.94, 13,783.77 and 7,335.50

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Solution

The fourth proportional to 9,230.94, 13,783.77 and 7,335.50 is: 10,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.94 : 13,783.77 = 7,335.50 : x
  2. Step 2: Convert to fraction form
    9,230.94/13,783.77 = 7,335.50/x
  3. Step 3: Cross multiply
    9,230.94x = 13,783.77 × 7,335.50
  4. Step 4: Simplify right side
    9,230.94x = 101,110,775.92
  5. Step 5: Solve for x
    x = 101,110,775.92/9,230.94
  6. Step 6: Final answer
    x = 10,953.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.