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Finding the Fourth Proportional to 30,865.38, 46,293.33 and 9,802.69

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Solution

The fourth proportional to 30,865.38, 46,293.33 and 9,802.69 is: 14,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.38 : 46,293.33 = 9,802.69 : x
  2. Step 2: Convert to fraction form
    30,865.38/46,293.33 = 9,802.69/x
  3. Step 3: Cross multiply
    30,865.38x = 46,293.33 × 9,802.69
  4. Step 4: Simplify right side
    30,865.38x = 453,799,184.16
  5. Step 5: Solve for x
    x = 453,799,184.16/30,865.38
  6. Step 6: Final answer
    x = 14,702.53

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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.