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Finding the Fourth Proportional to 14,689.50, 20,271.52 and 7,975.14

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Solution

The fourth proportional to 14,689.50, 20,271.52 and 7,975.14 is: 11,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.50 : 20,271.52 = 7,975.14 : x
  2. Step 2: Convert to fraction form
    14,689.50/20,271.52 = 7,975.14/x
  3. Step 3: Cross multiply
    14,689.50x = 20,271.52 × 7,975.14
  4. Step 4: Simplify right side
    14,689.50x = 161,668,210.01
  5. Step 5: Solve for x
    x = 161,668,210.01/14,689.50
  6. Step 6: Final answer
    x = 11,005.70

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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.