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Finding the Fourth Proportional to 19,029.16, 28,543.74 and 5,178.16

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Solution

The fourth proportional to 19,029.16, 28,543.74 and 5,178.16 is: 7,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029.16 : 28,543.74 = 5,178.16 : x
  2. Step 2: Convert to fraction form
    19,029.16/28,543.74 = 5,178.16/x
  3. Step 3: Cross multiply
    19,029.16x = 28,543.74 × 5,178.16
  4. Step 4: Simplify right side
    19,029.16x = 147,804,052.72
  5. Step 5: Solve for x
    x = 147,804,052.72/19,029.16
  6. Step 6: Final answer
    x = 7,767.24

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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.