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Finding the Fourth Proportional to 4,051.63, 6,077.45 and 973.63

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Solution

The fourth proportional to 4,051.63, 6,077.45 and 973.63 is: 1,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.63 : 6,077.45 = 973.63 : x
  2. Step 2: Convert to fraction form
    4,051.63/6,077.45 = 973.63/x
  3. Step 3: Cross multiply
    4,051.63x = 6,077.45 × 973.63
  4. Step 4: Simplify right side
    4,051.63x = 5,917,167.58
  5. Step 5: Solve for x
    x = 5,917,167.58/4,051.63
  6. Step 6: Final answer
    x = 1,460.44

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Similar ratio
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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.