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Finding the Fourth Proportional to 9,182.16, 13,771.08 and 4,564.08

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Solution

The fourth proportional to 9,182.16, 13,771.08 and 4,564.08 is: 6,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.16 : 13,771.08 = 4,564.08 : x
  2. Step 2: Convert to fraction form
    9,182.16/13,771.08 = 4,564.08/x
  3. Step 3: Cross multiply
    9,182.16x = 13,771.08 × 4,564.08
  4. Step 4: Simplify right side
    9,182.16x = 62,852,310.81
  5. Step 5: Solve for x
    x = 62,852,310.81/9,182.16
  6. Step 6: Final answer
    x = 6,845.05

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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.