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Finding the Fourth Proportional to 30,712.80, 46,069.20 and 9,938.40

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Solution

The fourth proportional to 30,712.80, 46,069.20 and 9,938.40 is: 14,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.80 : 46,069.20 = 9,938.40 : x
  2. Step 2: Convert to fraction form
    30,712.80/46,069.20 = 9,938.40/x
  3. Step 3: Cross multiply
    30,712.80x = 46,069.20 × 9,938.40
  4. Step 4: Simplify right side
    30,712.80x = 457,854,137.28
  5. Step 5: Solve for x
    x = 457,854,137.28/30,712.80
  6. Step 6: Final answer
    x = 14,907.60

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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.