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Finding the Fourth Proportional to 6,970.94, 9,619.93 and 3,827.13

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Solution

The fourth proportional to 6,970.94, 9,619.93 and 3,827.13 is: 5,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.94 : 9,619.93 = 3,827.13 : x
  2. Step 2: Convert to fraction form
    6,970.94/9,619.93 = 3,827.13/x
  3. Step 3: Cross multiply
    6,970.94x = 9,619.93 × 3,827.13
  4. Step 4: Simplify right side
    6,970.94x = 36,816,674.60
  5. Step 5: Solve for x
    x = 36,816,674.60/6,970.94
  6. Step 6: Final answer
    x = 5,281.45

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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.