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Finding the Fourth Proportional to 6,901.84, 9,526.71 and 4,069.06

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Solution

The fourth proportional to 6,901.84, 9,526.71 and 4,069.06 is: 5,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.84 : 9,526.71 = 4,069.06 : x
  2. Step 2: Convert to fraction form
    6,901.84/9,526.71 = 4,069.06/x
  3. Step 3: Cross multiply
    6,901.84x = 9,526.71 × 4,069.06
  4. Step 4: Simplify right side
    6,901.84x = 38,764,754.59
  5. Step 5: Solve for x
    x = 38,764,754.59/6,901.84
  6. Step 6: Final answer
    x = 5,616.58

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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.