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Finding the Fourth Proportional to 7,509.42, 10,351.07 and 5,913.54

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Solution

The fourth proportional to 7,509.42, 10,351.07 and 5,913.54 is: 8,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.42 : 10,351.07 = 5,913.54 : x
  2. Step 2: Convert to fraction form
    7,509.42/10,351.07 = 5,913.54/x
  3. Step 3: Cross multiply
    7,509.42x = 10,351.07 × 5,913.54
  4. Step 4: Simplify right side
    7,509.42x = 61,211,466.49
  5. Step 5: Solve for x
    x = 61,211,466.49/7,509.42
  6. Step 6: Final answer
    x = 8,151.29

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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.