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Finding the Fourth Proportional to 12,501.51, 18,742.96 and 7,570

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Solution

The fourth proportional to 12,501.51, 18,742.96 and 7,570 is: 11,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.51 : 18,742.96 = 7,570 : x
  2. Step 2: Convert to fraction form
    12,501.51/18,742.96 = 7,570/x
  3. Step 3: Cross multiply
    12,501.51x = 18,742.96 × 7,570
  4. Step 4: Simplify right side
    12,501.51x = 141,884,207.20
  5. Step 5: Solve for x
    x = 141,884,207.20/12,501.51
  6. Step 6: Final answer
    x = 11,349.37

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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.