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Finding the Fourth Proportional to 9,842.14, 14,746.77 and 6,915.20

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Solution

The fourth proportional to 9,842.14, 14,746.77 and 6,915.20 is: 10,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.14 : 14,746.77 = 6,915.20 : x
  2. Step 2: Convert to fraction form
    9,842.14/14,746.77 = 6,915.20/x
  3. Step 3: Cross multiply
    9,842.14x = 14,746.77 × 6,915.20
  4. Step 4: Simplify right side
    9,842.14x = 101,976,829.33
  5. Step 5: Solve for x
    x = 101,976,829.33/9,842.14
  6. Step 6: Final answer
    x = 10,361.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.