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Finding the Fourth Proportional to 9,106, 13,646.30 and 6,883

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Solution

The fourth proportional to 9,106, 13,646.30 and 6,883 is: 10,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 13,646.30 = 6,883 : x
  2. Step 2: Convert to fraction form
    9,106/13,646.30 = 6,883/x
  3. Step 3: Cross multiply
    9,106x = 13,646.30 × 6,883
  4. Step 4: Simplify right side
    9,106x = 93,927,482.90
  5. Step 5: Solve for x
    x = 93,927,482.90/9,106
  6. Step 6: Final answer
    x = 10,314.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.