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Finding the Fourth Proportional to 31,592.16, 47,386.73 and 7,899.86

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Solution

The fourth proportional to 31,592.16, 47,386.73 and 7,899.86 is: 11,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.16 : 47,386.73 = 7,899.86 : x
  2. Step 2: Convert to fraction form
    31,592.16/47,386.73 = 7,899.86/x
  3. Step 3: Cross multiply
    31,592.16x = 47,386.73 × 7,899.86
  4. Step 4: Simplify right side
    31,592.16x = 374,348,256.42
  5. Step 5: Solve for x
    x = 374,348,256.42/31,592.16
  6. Step 6: Final answer
    x = 11,849.40

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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.