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Finding the Fourth Proportional to 6,065.43, 9,097.11 and 1,681.86

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Solution

The fourth proportional to 6,065.43, 9,097.11 and 1,681.86 is: 2,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.43 : 9,097.11 = 1,681.86 : x
  2. Step 2: Convert to fraction form
    6,065.43/9,097.11 = 1,681.86/x
  3. Step 3: Cross multiply
    6,065.43x = 9,097.11 × 1,681.86
  4. Step 4: Simplify right side
    6,065.43x = 15,300,065.42
  5. Step 5: Solve for x
    x = 15,300,065.42/6,065.43
  6. Step 6: Final answer
    x = 2,522.50

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Half scale
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Double scale
Find fourth proportional to 6,066.43, 9,098.61 and 1,682.86
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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.