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Finding the Fourth Proportional to 4,051.51, 6,077.26 and 973.51

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Solution

The fourth proportional to 4,051.51, 6,077.26 and 973.51 is: 1,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.51 : 6,077.26 = 973.51 : x
  2. Step 2: Convert to fraction form
    4,051.51/6,077.26 = 973.51/x
  3. Step 3: Cross multiply
    4,051.51x = 6,077.26 × 973.51
  4. Step 4: Simplify right side
    4,051.51x = 5,916,238.13
  5. Step 5: Solve for x
    x = 5,916,238.13/4,051.51
  6. Step 6: Final answer
    x = 1,460.26

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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.