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Finding the Fourth Proportional to 19,698.47, 29,547.74 and 5,847.47

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Solution

The fourth proportional to 19,698.47, 29,547.74 and 5,847.47 is: 8,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.47 : 29,547.74 = 5,847.47 : x
  2. Step 2: Convert to fraction form
    19,698.47/29,547.74 = 5,847.47/x
  3. Step 3: Cross multiply
    19,698.47x = 29,547.74 × 5,847.47
  4. Step 4: Simplify right side
    19,698.47x = 172,779,523.22
  5. Step 5: Solve for x
    x = 172,779,523.22/19,698.47
  6. Step 6: Final answer
    x = 8,771.22

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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.