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Finding the Fourth Proportional to 9,684.90, 13,360.14 and 7,895.16

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Solution

The fourth proportional to 9,684.90, 13,360.14 and 7,895.16 is: 10,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.90 : 13,360.14 = 7,895.16 : x
  2. Step 2: Convert to fraction form
    9,684.90/13,360.14 = 7,895.16/x
  3. Step 3: Cross multiply
    9,684.90x = 13,360.14 × 7,895.16
  4. Step 4: Simplify right side
    9,684.90x = 105,480,442.92
  5. Step 5: Solve for x
    x = 105,480,442.92/9,684.90
  6. Step 6: Final answer
    x = 10,891.23

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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.