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Finding the Fourth Proportional to 9,907.65, 14,886.99 and 7,465.50

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Solution

The fourth proportional to 9,907.65, 14,886.99 and 7,465.50 is: 11,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.65 : 14,886.99 = 7,465.50 : x
  2. Step 2: Convert to fraction form
    9,907.65/14,886.99 = 7,465.50/x
  3. Step 3: Cross multiply
    9,907.65x = 14,886.99 × 7,465.50
  4. Step 4: Simplify right side
    9,907.65x = 111,138,823.85
  5. Step 5: Solve for x
    x = 111,138,823.85/9,907.65
  6. Step 6: Final answer
    x = 11,217.48

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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.