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Finding the Fourth Proportional to 15,915.28, 23,867.16 and 7,594.96

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Solution

The fourth proportional to 15,915.28, 23,867.16 and 7,594.96 is: 11,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.28 : 23,867.16 = 7,594.96 : x
  2. Step 2: Convert to fraction form
    15,915.28/23,867.16 = 7,594.96/x
  3. Step 3: Cross multiply
    15,915.28x = 23,867.16 × 7,594.96
  4. Step 4: Simplify right side
    15,915.28x = 181,270,125.51
  5. Step 5: Solve for x
    x = 181,270,125.51/15,915.28
  6. Step 6: Final answer
    x = 11,389.69

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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.