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Finding the Fourth Proportional to 12,193.65, 16,830.71 and 7,158.08

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Solution

The fourth proportional to 12,193.65, 16,830.71 and 7,158.08 is: 9,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.65 : 16,830.71 = 7,158.08 : x
  2. Step 2: Convert to fraction form
    12,193.65/16,830.71 = 7,158.08/x
  3. Step 3: Cross multiply
    12,193.65x = 16,830.71 × 7,158.08
  4. Step 4: Simplify right side
    12,193.65x = 120,475,448.69
  5. Step 5: Solve for x
    x = 120,475,448.69/12,193.65
  6. Step 6: Final answer
    x = 9,880.18

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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.