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Finding the Fourth Proportional to 8,427.84, 11,604 and 7,166.40

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Solution

The fourth proportional to 8,427.84, 11,604 and 7,166.40 is: 9,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.84 : 11,604 = 7,166.40 : x
  2. Step 2: Convert to fraction form
    8,427.84/11,604 = 7,166.40/x
  3. Step 3: Cross multiply
    8,427.84x = 11,604 × 7,166.40
  4. Step 4: Simplify right side
    8,427.84x = 83,158,905.60
  5. Step 5: Solve for x
    x = 83,158,905.60/8,427.84
  6. Step 6: Final answer
    x = 9,867.17

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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.