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Finding the Fourth Proportional to 9,470.77, 13,069.75 and 5,221.98

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Solution

The fourth proportional to 9,470.77, 13,069.75 and 5,221.98 is: 7,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.77 : 13,069.75 = 5,221.98 : x
  2. Step 2: Convert to fraction form
    9,470.77/13,069.75 = 5,221.98/x
  3. Step 3: Cross multiply
    9,470.77x = 13,069.75 × 5,221.98
  4. Step 4: Simplify right side
    9,470.77x = 68,249,973.11
  5. Step 5: Solve for x
    x = 68,249,973.11/9,470.77
  6. Step 6: Final answer
    x = 7,206.38

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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.