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Finding the Fourth Proportional to 31,070.67, 46,606.01 and 7,697.13

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Solution

The fourth proportional to 31,070.67, 46,606.01 and 7,697.13 is: 11,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.67 : 46,606.01 = 7,697.13 : x
  2. Step 2: Convert to fraction form
    31,070.67/46,606.01 = 7,697.13/x
  3. Step 3: Cross multiply
    31,070.67x = 46,606.01 × 7,697.13
  4. Step 4: Simplify right side
    31,070.67x = 358,732,479.27
  5. Step 5: Solve for x
    x = 358,732,479.27/31,070.67
  6. Step 6: Final answer
    x = 11,545.70

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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.