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Finding the Fourth Proportional to 11,592.70, 17,390.40 and 4,200.64

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Solution

The fourth proportional to 11,592.70, 17,390.40 and 4,200.64 is: 6,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.70 : 17,390.40 = 4,200.64 : x
  2. Step 2: Convert to fraction form
    11,592.70/17,390.40 = 4,200.64/x
  3. Step 3: Cross multiply
    11,592.70x = 17,390.40 × 4,200.64
  4. Step 4: Simplify right side
    11,592.70x = 73,050,809.86
  5. Step 5: Solve for x
    x = 73,050,809.86/11,592.70
  6. Step 6: Final answer
    x = 6,301.45

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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.