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Finding the Fourth Proportional to 10,346.58, 15,514 and 9,464.94

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Solution

The fourth proportional to 10,346.58, 15,514 and 9,464.94 is: 14,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.58 : 15,514 = 9,464.94 : x
  2. Step 2: Convert to fraction form
    10,346.58/15,514 = 9,464.94/x
  3. Step 3: Cross multiply
    10,346.58x = 15,514 × 9,464.94
  4. Step 4: Simplify right side
    10,346.58x = 146,839,079.16
  5. Step 5: Solve for x
    x = 146,839,079.16/10,346.58
  6. Step 6: Final answer
    x = 14,192.04

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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.