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Finding the Fourth Proportional to 9,455.94, 13,049.16 and 5,264.16

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Solution

The fourth proportional to 9,455.94, 13,049.16 and 5,264.16 is: 7,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.94 : 13,049.16 = 5,264.16 : x
  2. Step 2: Convert to fraction form
    9,455.94/13,049.16 = 5,264.16/x
  3. Step 3: Cross multiply
    9,455.94x = 13,049.16 × 5,264.16
  4. Step 4: Simplify right side
    9,455.94x = 68,692,866.11
  5. Step 5: Solve for x
    x = 68,692,866.11/9,455.94
  6. Step 6: Final answer
    x = 7,264.52

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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.