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Finding the Fourth Proportional to 7,303.50, 10,074.24 and 5,065.44

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Solution

The fourth proportional to 7,303.50, 10,074.24 and 5,065.44 is: 6,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.50 : 10,074.24 = 5,065.44 : x
  2. Step 2: Convert to fraction form
    7,303.50/10,074.24 = 5,065.44/x
  3. Step 3: Cross multiply
    7,303.50x = 10,074.24 × 5,065.44
  4. Step 4: Simplify right side
    7,303.50x = 51,030,458.27
  5. Step 5: Solve for x
    x = 51,030,458.27/7,303.50
  6. Step 6: Final answer
    x = 6,987.12

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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.