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Finding the Fourth Proportional to 9,697.70, 14,547.39 and 2,677.71

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Solution

The fourth proportional to 9,697.70, 14,547.39 and 2,677.71 is: 4,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.70 : 14,547.39 = 2,677.71 : x
  2. Step 2: Convert to fraction form
    9,697.70/14,547.39 = 2,677.71/x
  3. Step 3: Cross multiply
    9,697.70x = 14,547.39 × 2,677.71
  4. Step 4: Simplify right side
    9,697.70x = 38,953,678.29
  5. Step 5: Solve for x
    x = 38,953,678.29/9,697.70
  6. Step 6: Final answer
    x = 4,016.80

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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.