Home / 9,740.24-14,614-5,057.32

Finding the Fourth Proportional to 9,740.24, 14,614 and 5,057.32

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Solution

The fourth proportional to 9,740.24, 14,614 and 5,057.32 is: 7,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.24 : 14,614 = 5,057.32 : x
  2. Step 2: Convert to fraction form
    9,740.24/14,614 = 5,057.32/x
  3. Step 3: Cross multiply
    9,740.24x = 14,614 × 5,057.32
  4. Step 4: Simplify right side
    9,740.24x = 73,907,674.48
  5. Step 5: Solve for x
    x = 73,907,674.48/9,740.24
  6. Step 6: Final answer
    x = 7,587.87

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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.