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Finding the Fourth Proportional to 28,460.80, 42,695.70 and 9,742.60

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Solution

The fourth proportional to 28,460.80, 42,695.70 and 9,742.60 is: 14,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.80 : 42,695.70 = 9,742.60 : x
  2. Step 2: Convert to fraction form
    28,460.80/42,695.70 = 9,742.60/x
  3. Step 3: Cross multiply
    28,460.80x = 42,695.70 × 9,742.60
  4. Step 4: Simplify right side
    28,460.80x = 415,967,126.82
  5. Step 5: Solve for x
    x = 415,967,126.82/28,460.80
  6. Step 6: Final answer
    x = 14,615.44

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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.