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Finding the Fourth Proportional to 9,677.69, 13,355.74 and 7,283.35

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Solution

The fourth proportional to 9,677.69, 13,355.74 and 7,283.35 is: 10,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.69 : 13,355.74 = 7,283.35 : x
  2. Step 2: Convert to fraction form
    9,677.69/13,355.74 = 7,283.35/x
  3. Step 3: Cross multiply
    9,677.69x = 13,355.74 × 7,283.35
  4. Step 4: Simplify right side
    9,677.69x = 97,274,477.33
  5. Step 5: Solve for x
    x = 97,274,477.33/9,677.69
  6. Step 6: Final answer
    x = 10,051.42

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Similar ratio
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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.