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Finding the Fourth Proportional to 35,837, 53,755.36 and 9,541.76

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Solution

The fourth proportional to 35,837, 53,755.36 and 9,541.76 is: 14,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,837 : 53,755.36 = 9,541.76 : x
  2. Step 2: Convert to fraction form
    35,837/53,755.36 = 9,541.76/x
  3. Step 3: Cross multiply
    35,837x = 53,755.36 × 9,541.76
  4. Step 4: Simplify right side
    35,837x = 512,920,743.83
  5. Step 5: Solve for x
    x = 512,920,743.83/35,837
  6. Step 6: Final answer
    x = 14,312.60

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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.