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Finding the Fourth Proportional to 10,747.06, 14,806.54 and 8,316.06

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Solution

The fourth proportional to 10,747.06, 14,806.54 and 8,316.06 is: 11,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.06 : 14,806.54 = 8,316.06 : x
  2. Step 2: Convert to fraction form
    10,747.06/14,806.54 = 8,316.06/x
  3. Step 3: Cross multiply
    10,747.06x = 14,806.54 × 8,316.06
  4. Step 4: Simplify right side
    10,747.06x = 123,132,106.25
  5. Step 5: Solve for x
    x = 123,132,106.25/10,747.06
  6. Step 6: Final answer
    x = 11,457.29

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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.