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Finding the Fourth Proportional to 7,641.14, 11,465.16 and 4,867.10

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Solution

The fourth proportional to 7,641.14, 11,465.16 and 4,867.10 is: 7,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.14 : 11,465.16 = 4,867.10 : x
  2. Step 2: Convert to fraction form
    7,641.14/11,465.16 = 4,867.10/x
  3. Step 3: Cross multiply
    7,641.14x = 11,465.16 × 4,867.10
  4. Step 4: Simplify right side
    7,641.14x = 55,802,022.91
  5. Step 5: Solve for x
    x = 55,802,022.91/7,641.14
  6. Step 6: Final answer
    x = 7,302.84

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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.