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Finding the Fourth Proportional to 14,915.14, 22,358.74 and 5,047.51

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Solution

The fourth proportional to 14,915.14, 22,358.74 and 5,047.51 is: 7,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.14 : 22,358.74 = 5,047.51 : x
  2. Step 2: Convert to fraction form
    14,915.14/22,358.74 = 5,047.51/x
  3. Step 3: Cross multiply
    14,915.14x = 22,358.74 × 5,047.51
  4. Step 4: Simplify right side
    14,915.14x = 112,855,951.12
  5. Step 5: Solve for x
    x = 112,855,951.12/14,915.14
  6. Step 6: Final answer
    x = 7,566.54

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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.