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Finding the Fourth Proportional to 7,783.84, 10,741.40 and 4,246.96

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Solution

The fourth proportional to 7,783.84, 10,741.40 and 4,246.96 is: 5,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.84 : 10,741.40 = 4,246.96 : x
  2. Step 2: Convert to fraction form
    7,783.84/10,741.40 = 4,246.96/x
  3. Step 3: Cross multiply
    7,783.84x = 10,741.40 × 4,246.96
  4. Step 4: Simplify right side
    7,783.84x = 45,618,296.14
  5. Step 5: Solve for x
    x = 45,618,296.14/7,783.84
  6. Step 6: Final answer
    x = 5,860.64

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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.