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Finding the Fourth Proportional to 7,785.77, 10,741.14 and 5,429.30

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Solution

The fourth proportional to 7,785.77, 10,741.14 and 5,429.30 is: 7,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.77 : 10,741.14 = 5,429.30 : x
  2. Step 2: Convert to fraction form
    7,785.77/10,741.14 = 5,429.30/x
  3. Step 3: Cross multiply
    7,785.77x = 10,741.14 × 5,429.30
  4. Step 4: Simplify right side
    7,785.77x = 58,316,817.70
  5. Step 5: Solve for x
    x = 58,316,817.70/7,785.77
  6. Step 6: Final answer
    x = 7,490.18

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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.