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Finding the Fourth Proportional to 7,966.16, 10,992 and 4,429.28

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Solution

The fourth proportional to 7,966.16, 10,992 and 4,429.28 is: 6,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.16 : 10,992 = 4,429.28 : x
  2. Step 2: Convert to fraction form
    7,966.16/10,992 = 4,429.28/x
  3. Step 3: Cross multiply
    7,966.16x = 10,992 × 4,429.28
  4. Step 4: Simplify right side
    7,966.16x = 48,686,645.76
  5. Step 5: Solve for x
    x = 48,686,645.76/7,966.16
  6. Step 6: Final answer
    x = 6,111.68

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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.