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Finding the Fourth Proportional to 8,088, 11,166.30 and 5,298.36

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Solution

The fourth proportional to 8,088, 11,166.30 and 5,298.36 is: 7,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088 : 11,166.30 = 5,298.36 : x
  2. Step 2: Convert to fraction form
    8,088/11,166.30 = 5,298.36/x
  3. Step 3: Cross multiply
    8,088x = 11,166.30 × 5,298.36
  4. Step 4: Simplify right side
    8,088x = 59,163,077.27
  5. Step 5: Solve for x
    x = 59,163,077.27/8,088
  6. Step 6: Final answer
    x = 7,314.92

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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.