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Finding the Fourth Proportional to 6,709.76, 9,262.16 and 6,533.12

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Solution

The fourth proportional to 6,709.76, 9,262.16 and 6,533.12 is: 9,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.76 : 9,262.16 = 6,533.12 : x
  2. Step 2: Convert to fraction form
    6,709.76/9,262.16 = 6,533.12/x
  3. Step 3: Cross multiply
    6,709.76x = 9,262.16 × 6,533.12
  4. Step 4: Simplify right side
    6,709.76x = 60,510,802.74
  5. Step 5: Solve for x
    x = 60,510,802.74/6,709.76
  6. Step 6: Final answer
    x = 9,018.33

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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.