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Finding the Fourth Proportional to 9,569.64, 13,194.18 and 7,897.80

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Solution

The fourth proportional to 9,569.64, 13,194.18 and 7,897.80 is: 10,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.64 : 13,194.18 = 7,897.80 : x
  2. Step 2: Convert to fraction form
    9,569.64/13,194.18 = 7,897.80/x
  3. Step 3: Cross multiply
    9,569.64x = 13,194.18 × 7,897.80
  4. Step 4: Simplify right side
    9,569.64x = 104,204,994.80
  5. Step 5: Solve for x
    x = 104,204,994.80/9,569.64
  6. Step 6: Final answer
    x = 10,889.12

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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.