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Finding the Fourth Proportional to 9,097.46, 13,646.04 and 4,097.06

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Solution

The fourth proportional to 9,097.46, 13,646.04 and 4,097.06 is: 6,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.46 : 13,646.04 = 4,097.06 : x
  2. Step 2: Convert to fraction form
    9,097.46/13,646.04 = 4,097.06/x
  3. Step 3: Cross multiply
    9,097.46x = 13,646.04 × 4,097.06
  4. Step 4: Simplify right side
    9,097.46x = 55,908,608.41
  5. Step 5: Solve for x
    x = 55,908,608.41/9,097.46
  6. Step 6: Final answer
    x = 6,145.52

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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.