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Finding the Fourth Proportional to 9,894.73, 14,838.45 and 8,345.65

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Solution

The fourth proportional to 9,894.73, 14,838.45 and 8,345.65 is: 12,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.73 : 14,838.45 = 8,345.65 : x
  2. Step 2: Convert to fraction form
    9,894.73/14,838.45 = 8,345.65/x
  3. Step 3: Cross multiply
    9,894.73x = 14,838.45 × 8,345.65
  4. Step 4: Simplify right side
    9,894.73x = 123,836,510.24
  5. Step 5: Solve for x
    x = 123,836,510.24/9,894.73
  6. Step 6: Final answer
    x = 12,515.40

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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.