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Finding the Fourth Proportional to 7,783.25, 10,743.17 and 4,427.93

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Solution

The fourth proportional to 7,783.25, 10,743.17 and 4,427.93 is: 6,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.25 : 10,743.17 = 4,427.93 : x
  2. Step 2: Convert to fraction form
    7,783.25/10,743.17 = 4,427.93/x
  3. Step 3: Cross multiply
    7,783.25x = 10,743.17 × 4,427.93
  4. Step 4: Simplify right side
    7,783.25x = 47,570,009.46
  5. Step 5: Solve for x
    x = 47,570,009.46/7,783.25
  6. Step 6: Final answer
    x = 6,111.85

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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.