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Finding the Fourth Proportional to 34,742.58, 52,113.87 and 9,782.63

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Solution

The fourth proportional to 34,742.58, 52,113.87 and 9,782.63 is: 14,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.58 : 52,113.87 = 9,782.63 : x
  2. Step 2: Convert to fraction form
    34,742.58/52,113.87 = 9,782.63/x
  3. Step 3: Cross multiply
    34,742.58x = 52,113.87 × 9,782.63
  4. Step 4: Simplify right side
    34,742.58x = 509,810,447.51
  5. Step 5: Solve for x
    x = 509,810,447.51/34,742.58
  6. Step 6: Final answer
    x = 14,673.94

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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.