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Finding the Fourth Proportional to 9,754.52, 13,460.93 and 5,775.67

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Solution

The fourth proportional to 9,754.52, 13,460.93 and 5,775.67 is: 7,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.52 : 13,460.93 = 5,775.67 : x
  2. Step 2: Convert to fraction form
    9,754.52/13,460.93 = 5,775.67/x
  3. Step 3: Cross multiply
    9,754.52x = 13,460.93 × 5,775.67
  4. Step 4: Simplify right side
    9,754.52x = 77,745,822.27
  5. Step 5: Solve for x
    x = 77,745,822.27/9,754.52
  6. Step 6: Final answer
    x = 7,970.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.