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Finding the Fourth Proportional to 7,463.25, 10,299.24 and 4,106.25

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Solution

The fourth proportional to 7,463.25, 10,299.24 and 4,106.25 is: 5,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.25 : 10,299.24 = 4,106.25 : x
  2. Step 2: Convert to fraction form
    7,463.25/10,299.24 = 4,106.25/x
  3. Step 3: Cross multiply
    7,463.25x = 10,299.24 × 4,106.25
  4. Step 4: Simplify right side
    7,463.25x = 42,291,254.25
  5. Step 5: Solve for x
    x = 42,291,254.25/7,463.25
  6. Step 6: Final answer
    x = 5,666.60

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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.