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Finding the Fourth Proportional to 9,979.04, 14,970 and 3,052.64

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Solution

The fourth proportional to 9,979.04, 14,970 and 3,052.64 is: 4,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.04 : 14,970 = 3,052.64 : x
  2. Step 2: Convert to fraction form
    9,979.04/14,970 = 3,052.64/x
  3. Step 3: Cross multiply
    9,979.04x = 14,970 × 3,052.64
  4. Step 4: Simplify right side
    9,979.04x = 45,698,020.80
  5. Step 5: Solve for x
    x = 45,698,020.80/9,979.04
  6. Step 6: Final answer
    x = 4,579.40

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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.