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Finding the Fourth Proportional to 8,347.57, 11,509.87 and 6,663.58

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Solution

The fourth proportional to 8,347.57, 11,509.87 and 6,663.58 is: 9,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.57 : 11,509.87 = 6,663.58 : x
  2. Step 2: Convert to fraction form
    8,347.57/11,509.87 = 6,663.58/x
  3. Step 3: Cross multiply
    8,347.57x = 11,509.87 × 6,663.58
  4. Step 4: Simplify right side
    8,347.57x = 76,696,894.10
  5. Step 5: Solve for x
    x = 76,696,894.10/8,347.57
  6. Step 6: Final answer
    x = 9,187.93

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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.