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Finding the Fourth Proportional to 34,535.66, 51,803.62 and 9,577.66

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Solution

The fourth proportional to 34,535.66, 51,803.62 and 9,577.66 is: 14,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,535.66 : 51,803.62 = 9,577.66 : x
  2. Step 2: Convert to fraction form
    34,535.66/51,803.62 = 9,577.66/x
  3. Step 3: Cross multiply
    34,535.66x = 51,803.62 × 9,577.66
  4. Step 4: Simplify right side
    34,535.66x = 496,157,459.13
  5. Step 5: Solve for x
    x = 496,157,459.13/34,535.66
  6. Step 6: Final answer
    x = 14,366.53

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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.