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Finding the Fourth Proportional to 9,155, 12,624.46 and 7,833.08

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Solution

The fourth proportional to 9,155, 12,624.46 and 7,833.08 is: 10,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155 : 12,624.46 = 7,833.08 : x
  2. Step 2: Convert to fraction form
    9,155/12,624.46 = 7,833.08/x
  3. Step 3: Cross multiply
    9,155x = 12,624.46 × 7,833.08
  4. Step 4: Simplify right side
    9,155x = 98,888,405.14
  5. Step 5: Solve for x
    x = 98,888,405.14/9,155
  6. Step 6: Final answer
    x = 10,801.57

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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.