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Finding the Fourth Proportional to 9,880.60, 14,820.90 and 7,677.40

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Solution

The fourth proportional to 9,880.60, 14,820.90 and 7,677.40 is: 11,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.60 : 14,820.90 = 7,677.40 : x
  2. Step 2: Convert to fraction form
    9,880.60/14,820.90 = 7,677.40/x
  3. Step 3: Cross multiply
    9,880.60x = 14,820.90 × 7,677.40
  4. Step 4: Simplify right side
    9,880.60x = 113,785,977.66
  5. Step 5: Solve for x
    x = 113,785,977.66/9,880.60
  6. Step 6: Final answer
    x = 11,516.10

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1.5x scale

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.