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Finding the Fourth Proportional to 6,966.77, 9,608.76 and 4,842.27

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Solution

The fourth proportional to 6,966.77, 9,608.76 and 4,842.27 is: 6,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.77 : 9,608.76 = 4,842.27 : x
  2. Step 2: Convert to fraction form
    6,966.77/9,608.76 = 4,842.27/x
  3. Step 3: Cross multiply
    6,966.77x = 9,608.76 × 4,842.27
  4. Step 4: Simplify right side
    6,966.77x = 46,528,210.29
  5. Step 5: Solve for x
    x = 46,528,210.29/6,966.77
  6. Step 6: Final answer
    x = 6,678.60

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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.