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Finding the Fourth Proportional to 6,999.90, 10,564.67 and 6,999.90

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Solution

The fourth proportional to 6,999.90, 10,564.67 and 6,999.90 is: 10,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.90 : 10,564.67 = 6,999.90 : x
  2. Step 2: Convert to fraction form
    6,999.90/10,564.67 = 6,999.90/x
  3. Step 3: Cross multiply
    6,999.90x = 10,564.67 × 6,999.90
  4. Step 4: Simplify right side
    6,999.90x = 73,951,598.53
  5. Step 5: Solve for x
    x = 73,951,598.53/6,999.90
  6. Step 6: Final answer
    x = 10,564.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.