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Finding the Fourth Proportional to 35,782.25, 53,674.34 and 9,486.95

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Solution

The fourth proportional to 35,782.25, 53,674.34 and 9,486.95 is: 14,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.25 : 53,674.34 = 9,486.95 : x
  2. Step 2: Convert to fraction form
    35,782.25/53,674.34 = 9,486.95/x
  3. Step 3: Cross multiply
    35,782.25x = 53,674.34 × 9,486.95
  4. Step 4: Simplify right side
    35,782.25x = 509,205,464.06
  5. Step 5: Solve for x
    x = 509,205,464.06/35,782.25
  6. Step 6: Final answer
    x = 14,230.67

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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.