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Finding the Fourth Proportional to 10,573.42, 15,864.22 and 4,004.22

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Solution

The fourth proportional to 10,573.42, 15,864.22 and 4,004.22 is: 6,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.42 : 15,864.22 = 4,004.22 : x
  2. Step 2: Convert to fraction form
    10,573.42/15,864.22 = 4,004.22/x
  3. Step 3: Cross multiply
    10,573.42x = 15,864.22 × 4,004.22
  4. Step 4: Simplify right side
    10,573.42x = 63,523,827.01
  5. Step 5: Solve for x
    x = 63,523,827.01/10,573.42
  6. Step 6: Final answer
    x = 6,007.88

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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.