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Finding the Fourth Proportional to 8,533.04, 11,764.14 and 7,658.24

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Solution

The fourth proportional to 8,533.04, 11,764.14 and 7,658.24 is: 10,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.04 : 11,764.14 = 7,658.24 : x
  2. Step 2: Convert to fraction form
    8,533.04/11,764.14 = 7,658.24/x
  3. Step 3: Cross multiply
    8,533.04x = 11,764.14 × 7,658.24
  4. Step 4: Simplify right side
    8,533.04x = 90,092,607.51
  5. Step 5: Solve for x
    x = 90,092,607.51/8,533.04
  6. Step 6: Final answer
    x = 10,558.09

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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.