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Finding the Fourth Proportional to 4,334.64, 6,502.50 and 1,412.16

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Solution

The fourth proportional to 4,334.64, 6,502.50 and 1,412.16 is: 2,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.64 : 6,502.50 = 1,412.16 : x
  2. Step 2: Convert to fraction form
    4,334.64/6,502.50 = 1,412.16/x
  3. Step 3: Cross multiply
    4,334.64x = 6,502.50 × 1,412.16
  4. Step 4: Simplify right side
    4,334.64x = 9,182,570.40
  5. Step 5: Solve for x
    x = 9,182,570.40/4,334.64
  6. Step 6: Final answer
    x = 2,118.42

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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.