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Finding the Fourth Proportional to 9,263.76, 12,784.14 and 5,230.80

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Solution

The fourth proportional to 9,263.76, 12,784.14 and 5,230.80 is: 7,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.76 : 12,784.14 = 5,230.80 : x
  2. Step 2: Convert to fraction form
    9,263.76/12,784.14 = 5,230.80/x
  3. Step 3: Cross multiply
    9,263.76x = 12,784.14 × 5,230.80
  4. Step 4: Simplify right side
    9,263.76x = 66,871,279.51
  5. Step 5: Solve for x
    x = 66,871,279.51/9,263.76
  6. Step 6: Final answer
    x = 7,218.59

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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.