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Finding the Fourth Proportional to 7,041.76, 9,709.68 and 5,267.68

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Solution

The fourth proportional to 7,041.76, 9,709.68 and 5,267.68 is: 7,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.76 : 9,709.68 = 5,267.68 : x
  2. Step 2: Convert to fraction form
    7,041.76/9,709.68 = 5,267.68/x
  3. Step 3: Cross multiply
    7,041.76x = 9,709.68 × 5,267.68
  4. Step 4: Simplify right side
    7,041.76x = 51,147,487.14
  5. Step 5: Solve for x
    x = 51,147,487.14/7,041.76
  6. Step 6: Final answer
    x = 7,263.45

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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.