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Finding the Fourth Proportional to 4,673.65, 7,011.12 and 1,711.71

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Solution

The fourth proportional to 4,673.65, 7,011.12 and 1,711.71 is: 2,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.65 : 7,011.12 = 1,711.71 : x
  2. Step 2: Convert to fraction form
    4,673.65/7,011.12 = 1,711.71/x
  3. Step 3: Cross multiply
    4,673.65x = 7,011.12 × 1,711.71
  4. Step 4: Simplify right side
    4,673.65x = 12,001,004.22
  5. Step 5: Solve for x
    x = 12,001,004.22/4,673.65
  6. Step 6: Final answer
    x = 2,567.80

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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.