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Finding the Fourth Proportional to 28,006, 38,649.36 and 15,430.48

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Solution

The fourth proportional to 28,006, 38,649.36 and 15,430.48 is: 21,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006 : 38,649.36 = 15,430.48 : x
  2. Step 2: Convert to fraction form
    28,006/38,649.36 = 15,430.48/x
  3. Step 3: Cross multiply
    28,006x = 38,649.36 × 15,430.48
  4. Step 4: Simplify right side
    28,006x = 596,378,176.49
  5. Step 5: Solve for x
    x = 596,378,176.49/28,006
  6. Step 6: Final answer
    x = 21,294.66

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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.