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Finding the Fourth Proportional to 6,171.16, 9,256.74 and 1,554.16

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Solution

The fourth proportional to 6,171.16, 9,256.74 and 1,554.16 is: 2,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.16 : 9,256.74 = 1,554.16 : x
  2. Step 2: Convert to fraction form
    6,171.16/9,256.74 = 1,554.16/x
  3. Step 3: Cross multiply
    6,171.16x = 9,256.74 × 1,554.16
  4. Step 4: Simplify right side
    6,171.16x = 14,386,455.04
  5. Step 5: Solve for x
    x = 14,386,455.04/6,171.16
  6. Step 6: Final answer
    x = 2,331.24

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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.