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Finding the Fourth Proportional to 14,689.74, 20,271.77 and 7,975.32

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Solution

The fourth proportional to 14,689.74, 20,271.77 and 7,975.32 is: 11,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.74 : 20,271.77 = 7,975.32 : x
  2. Step 2: Convert to fraction form
    14,689.74/20,271.77 = 7,975.32/x
  3. Step 3: Cross multiply
    14,689.74x = 20,271.77 × 7,975.32
  4. Step 4: Simplify right side
    14,689.74x = 161,673,711.48
  5. Step 5: Solve for x
    x = 161,673,711.48/14,689.74
  6. Step 6: Final answer
    x = 11,005.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.