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Finding the Fourth Proportional to 14,031, 19,362.84 and 7,743.24

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Solution

The fourth proportional to 14,031, 19,362.84 and 7,743.24 is: 10,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031 : 19,362.84 = 7,743.24 : x
  2. Step 2: Convert to fraction form
    14,031/19,362.84 = 7,743.24/x
  3. Step 3: Cross multiply
    14,031x = 19,362.84 × 7,743.24
  4. Step 4: Simplify right side
    14,031x = 149,931,117.20
  5. Step 5: Solve for x
    x = 149,931,117.20/14,031
  6. Step 6: Final answer
    x = 10,685.70

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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.