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Finding the Fourth Proportional to 9,569.01, 13,206.47 and 5,378.07

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Solution

The fourth proportional to 9,569.01, 13,206.47 and 5,378.07 is: 7,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.01 : 13,206.47 = 5,378.07 : x
  2. Step 2: Convert to fraction form
    9,569.01/13,206.47 = 5,378.07/x
  3. Step 3: Cross multiply
    9,569.01x = 13,206.47 × 5,378.07
  4. Step 4: Simplify right side
    9,569.01x = 71,025,320.11
  5. Step 5: Solve for x
    x = 71,025,320.11/9,569.01
  6. Step 6: Final answer
    x = 7,422.43

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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.