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Finding the Fourth Proportional to 9,461.65, 12,962.53 and 9,106.95

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Solution

The fourth proportional to 9,461.65, 12,962.53 and 9,106.95 is: 12,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.65 : 12,962.53 = 9,106.95 : x
  2. Step 2: Convert to fraction form
    9,461.65/12,962.53 = 9,106.95/x
  3. Step 3: Cross multiply
    9,461.65x = 12,962.53 × 9,106.95
  4. Step 4: Simplify right side
    9,461.65x = 118,049,112.58
  5. Step 5: Solve for x
    x = 118,049,112.58/9,461.65
  6. Step 6: Final answer
    x = 12,476.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.