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Finding the Fourth Proportional to 25,821.16, 38,738.14 and 7,353

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Solution

The fourth proportional to 25,821.16, 38,738.14 and 7,353 is: 11,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.16 : 38,738.14 = 7,353 : x
  2. Step 2: Convert to fraction form
    25,821.16/38,738.14 = 7,353/x
  3. Step 3: Cross multiply
    25,821.16x = 38,738.14 × 7,353
  4. Step 4: Simplify right side
    25,821.16x = 284,841,543.42
  5. Step 5: Solve for x
    x = 284,841,543.42/25,821.16
  6. Step 6: Final answer
    x = 11,031.32

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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.