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Finding the Fourth Proportional to 9,057.74, 13,566.54 and 6,962.32

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Solution

The fourth proportional to 9,057.74, 13,566.54 and 6,962.32 is: 10,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.74 : 13,566.54 = 6,962.32 : x
  2. Step 2: Convert to fraction form
    9,057.74/13,566.54 = 6,962.32/x
  3. Step 3: Cross multiply
    9,057.74x = 13,566.54 × 6,962.32
  4. Step 4: Simplify right side
    9,057.74x = 94,454,557.96
  5. Step 5: Solve for x
    x = 94,454,557.96/9,057.74
  6. Step 6: Final answer
    x = 10,428.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.