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Finding the Fourth Proportional to 10,036.76, 13,819.04 and 8,841

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Solution

The fourth proportional to 10,036.76, 13,819.04 and 8,841 is: 12,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.76 : 13,819.04 = 8,841 : x
  2. Step 2: Convert to fraction form
    10,036.76/13,819.04 = 8,841/x
  3. Step 3: Cross multiply
    10,036.76x = 13,819.04 × 8,841
  4. Step 4: Simplify right side
    10,036.76x = 122,174,132.64
  5. Step 5: Solve for x
    x = 122,174,132.64/10,036.76
  6. Step 6: Final answer
    x = 12,172.67

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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.