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Finding the Fourth Proportional to 4,051.48, 6,077.21 and 973.48

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Solution

The fourth proportional to 4,051.48, 6,077.21 and 973.48 is: 1,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.48 : 6,077.21 = 973.48 : x
  2. Step 2: Convert to fraction form
    4,051.48/6,077.21 = 973.48/x
  3. Step 3: Cross multiply
    4,051.48x = 6,077.21 × 973.48
  4. Step 4: Simplify right side
    4,051.48x = 5,916,026.22
  5. Step 5: Solve for x
    x = 5,916,026.22/4,051.48
  6. Step 6: Final answer
    x = 1,460.21

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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.