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Finding the Fourth Proportional to 5,293.74, 7,941.01 and 1,783.74

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Solution

The fourth proportional to 5,293.74, 7,941.01 and 1,783.74 is: 2,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.74 : 7,941.01 = 1,783.74 : x
  2. Step 2: Convert to fraction form
    5,293.74/7,941.01 = 1,783.74/x
  3. Step 3: Cross multiply
    5,293.74x = 7,941.01 × 1,783.74
  4. Step 4: Simplify right side
    5,293.74x = 14,164,697.18
  5. Step 5: Solve for x
    x = 14,164,697.18/5,293.74
  6. Step 6: Final answer
    x = 2,675.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.