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Finding the Fourth Proportional to 10,726.36, 14,802.36 and 6,010.67

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Solution

The fourth proportional to 10,726.36, 14,802.36 and 6,010.67 is: 8,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.36 : 14,802.36 = 6,010.67 : x
  2. Step 2: Convert to fraction form
    10,726.36/14,802.36 = 6,010.67/x
  3. Step 3: Cross multiply
    10,726.36x = 14,802.36 × 6,010.67
  4. Step 4: Simplify right side
    10,726.36x = 88,972,101.18
  5. Step 5: Solve for x
    x = 88,972,101.18/10,726.36
  6. Step 6: Final answer
    x = 8,294.72

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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.