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Finding the Fourth Proportional to 9,578.16, 14,357 and 6,833.84

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Solution

The fourth proportional to 9,578.16, 14,357 and 6,833.84 is: 10,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.16 : 14,357 = 6,833.84 : x
  2. Step 2: Convert to fraction form
    9,578.16/14,357 = 6,833.84/x
  3. Step 3: Cross multiply
    9,578.16x = 14,357 × 6,833.84
  4. Step 4: Simplify right side
    9,578.16x = 98,113,440.88
  5. Step 5: Solve for x
    x = 98,113,440.88/9,578.16
  6. Step 6: Final answer
    x = 10,243.45

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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.