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Finding the Fourth Proportional to 9,880.70, 14,804.60 and 6,952.85

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Solution

The fourth proportional to 9,880.70, 14,804.60 and 6,952.85 is: 10,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.70 : 14,804.60 = 6,952.85 : x
  2. Step 2: Convert to fraction form
    9,880.70/14,804.60 = 6,952.85/x
  3. Step 3: Cross multiply
    9,880.70x = 14,804.60 × 6,952.85
  4. Step 4: Simplify right side
    9,880.70x = 102,934,165.36
  5. Step 5: Solve for x
    x = 102,934,165.36/9,880.70
  6. Step 6: Final answer
    x = 10,417.70

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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.