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Finding the Fourth Proportional to 19,693.54, 29,538.51 and 6,547.42

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Solution

The fourth proportional to 19,693.54, 29,538.51 and 6,547.42 is: 9,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.54 : 29,538.51 = 6,547.42 : x
  2. Step 2: Convert to fraction form
    19,693.54/29,538.51 = 6,547.42/x
  3. Step 3: Cross multiply
    19,693.54x = 29,538.51 × 6,547.42
  4. Step 4: Simplify right side
    19,693.54x = 193,401,031.14
  5. Step 5: Solve for x
    x = 193,401,031.14/19,693.54
  6. Step 6: Final answer
    x = 9,820.53

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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.