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Finding the Fourth Proportional to 30,769.98, 46,154.97 and 9,710.09

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Solution

The fourth proportional to 30,769.98, 46,154.97 and 9,710.09 is: 14,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.98 : 46,154.97 = 9,710.09 : x
  2. Step 2: Convert to fraction form
    30,769.98/46,154.97 = 9,710.09/x
  3. Step 3: Cross multiply
    30,769.98x = 46,154.97 × 9,710.09
  4. Step 4: Simplify right side
    30,769.98x = 448,168,681.87
  5. Step 5: Solve for x
    x = 448,168,681.87/30,769.98
  6. Step 6: Final answer
    x = 14,565.13

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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.