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Finding the Fourth Proportional to 9,972.72, 14,957.88 and 5,302.26

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Solution

The fourth proportional to 9,972.72, 14,957.88 and 5,302.26 is: 7,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.72 : 14,957.88 = 5,302.26 : x
  2. Step 2: Convert to fraction form
    9,972.72/14,957.88 = 5,302.26/x
  3. Step 3: Cross multiply
    9,972.72x = 14,957.88 × 5,302.26
  4. Step 4: Simplify right side
    9,972.72x = 79,310,568.81
  5. Step 5: Solve for x
    x = 79,310,568.81/9,972.72
  6. Step 6: Final answer
    x = 7,952.75

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1.5x scale

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.