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Finding the Fourth Proportional to 9,993.65, 14,977.91 and 5,302.07

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Solution

The fourth proportional to 9,993.65, 14,977.91 and 5,302.07 is: 7,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.65 : 14,977.91 = 5,302.07 : x
  2. Step 2: Convert to fraction form
    9,993.65/14,977.91 = 5,302.07/x
  3. Step 3: Cross multiply
    9,993.65x = 14,977.91 × 5,302.07
  4. Step 4: Simplify right side
    9,993.65x = 79,413,927.27
  5. Step 5: Solve for x
    x = 79,413,927.27/9,993.65
  6. Step 6: Final answer
    x = 7,946.44

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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.