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Finding the Fourth Proportional to 7,299, 10,074.24 and 4,506.12

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Solution

The fourth proportional to 7,299, 10,074.24 and 4,506.12 is: 6,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299 : 10,074.24 = 4,506.12 : x
  2. Step 2: Convert to fraction form
    7,299/10,074.24 = 4,506.12/x
  3. Step 3: Cross multiply
    7,299x = 10,074.24 × 4,506.12
  4. Step 4: Simplify right side
    7,299x = 45,395,734.35
  5. Step 5: Solve for x
    x = 45,395,734.35/7,299
  6. Step 6: Final answer
    x = 6,219.45

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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.