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Finding the Fourth Proportional to 10,456, 14,430.56 and 6,040

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Solution

The fourth proportional to 10,456, 14,430.56 and 6,040 is: 8,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456 : 14,430.56 = 6,040 : x
  2. Step 2: Convert to fraction form
    10,456/14,430.56 = 6,040/x
  3. Step 3: Cross multiply
    10,456x = 14,430.56 × 6,040
  4. Step 4: Simplify right side
    10,456x = 87,160,582.40
  5. Step 5: Solve for x
    x = 87,160,582.40/10,456
  6. Step 6: Final answer
    x = 8,335.94

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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.