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Finding the Fourth Proportional to 9,065.64, 13,598.47 and 2,826.16

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Solution

The fourth proportional to 9,065.64, 13,598.47 and 2,826.16 is: 4,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.64 : 13,598.47 = 2,826.16 : x
  2. Step 2: Convert to fraction form
    9,065.64/13,598.47 = 2,826.16/x
  3. Step 3: Cross multiply
    9,065.64x = 13,598.47 × 2,826.16
  4. Step 4: Simplify right side
    9,065.64x = 38,431,431.11
  5. Step 5: Solve for x
    x = 38,431,431.11/9,065.64
  6. Step 6: Final answer
    x = 4,239.24

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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.