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Finding the Fourth Proportional to 9,880.23, 14,830.79 and 9,657.13

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Solution

The fourth proportional to 9,880.23, 14,830.79 and 9,657.13 is: 14,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.23 : 14,830.79 = 9,657.13 : x
  2. Step 2: Convert to fraction form
    9,880.23/14,830.79 = 9,657.13/x
  3. Step 3: Cross multiply
    9,880.23x = 14,830.79 × 9,657.13
  4. Step 4: Simplify right side
    9,880.23x = 143,222,781.67
  5. Step 5: Solve for x
    x = 143,222,781.67/9,880.23
  6. Step 6: Final answer
    x = 14,495.90

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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.