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Finding the Fourth Proportional to 8,533.97, 11,775.52 and 4,807.25

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Solution

The fourth proportional to 8,533.97, 11,775.52 and 4,807.25 is: 6,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.97 : 11,775.52 = 4,807.25 : x
  2. Step 2: Convert to fraction form
    8,533.97/11,775.52 = 4,807.25/x
  3. Step 3: Cross multiply
    8,533.97x = 11,775.52 × 4,807.25
  4. Step 4: Simplify right side
    8,533.97x = 56,607,868.52
  5. Step 5: Solve for x
    x = 56,607,868.52/8,533.97
  6. Step 6: Final answer
    x = 6,633.24

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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.