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Finding the Fourth Proportional to 9,569.90, 13,206.02 and 5,321.22

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Solution

The fourth proportional to 9,569.90, 13,206.02 and 5,321.22 is: 7,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.90 : 13,206.02 = 5,321.22 : x
  2. Step 2: Convert to fraction form
    9,569.90/13,206.02 = 5,321.22/x
  3. Step 3: Cross multiply
    9,569.90x = 13,206.02 × 5,321.22
  4. Step 4: Simplify right side
    9,569.90x = 70,272,111.14
  5. Step 5: Solve for x
    x = 70,272,111.14/9,569.90
  6. Step 6: Final answer
    x = 7,343.04

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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.