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Finding the Fourth Proportional to 7,977.76, 11,007.06 and 4,790.20

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Solution

The fourth proportional to 7,977.76, 11,007.06 and 4,790.20 is: 6,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.76 : 11,007.06 = 4,790.20 : x
  2. Step 2: Convert to fraction form
    7,977.76/11,007.06 = 4,790.20/x
  3. Step 3: Cross multiply
    7,977.76x = 11,007.06 × 4,790.20
  4. Step 4: Simplify right side
    7,977.76x = 52,726,018.81
  5. Step 5: Solve for x
    x = 52,726,018.81/7,977.76
  6. Step 6: Final answer
    x = 6,609.13

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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.