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Finding the Fourth Proportional to 9,133.56, 13,707 and 7,058.76

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Solution

The fourth proportional to 9,133.56, 13,707 and 7,058.76 is: 10,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.56 : 13,707 = 7,058.76 : x
  2. Step 2: Convert to fraction form
    9,133.56/13,707 = 7,058.76/x
  3. Step 3: Cross multiply
    9,133.56x = 13,707 × 7,058.76
  4. Step 4: Simplify right side
    9,133.56x = 96,754,423.32
  5. Step 5: Solve for x
    x = 96,754,423.32/9,133.56
  6. Step 6: Final answer
    x = 10,593.29

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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.