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Finding the Fourth Proportional to 6,503.94, 9,749.73 and 5,926.14

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Solution

The fourth proportional to 6,503.94, 9,749.73 and 5,926.14 is: 8,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.94 : 9,749.73 = 5,926.14 : x
  2. Step 2: Convert to fraction form
    6,503.94/9,749.73 = 5,926.14/x
  3. Step 3: Cross multiply
    6,503.94x = 9,749.73 × 5,926.14
  4. Step 4: Simplify right side
    6,503.94x = 57,778,264.94
  5. Step 5: Solve for x
    x = 57,778,264.94/6,503.94
  6. Step 6: Final answer
    x = 8,883.58

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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.