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Finding the Fourth Proportional to 35,798.41, 53,697.62 and 9,502.47

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Solution

The fourth proportional to 35,798.41, 53,697.62 and 9,502.47 is: 14,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.41 : 53,697.62 = 9,502.47 : x
  2. Step 2: Convert to fraction form
    35,798.41/53,697.62 = 9,502.47/x
  3. Step 3: Cross multiply
    35,798.41x = 53,697.62 × 9,502.47
  4. Step 4: Simplify right side
    35,798.41x = 510,260,023.12
  5. Step 5: Solve for x
    x = 510,260,023.12/35,798.41
  6. Step 6: Final answer
    x = 14,253.71

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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.