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Finding the Fourth Proportional to 30,463.80, 45,695.70 and 9,689.40

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Solution

The fourth proportional to 30,463.80, 45,695.70 and 9,689.40 is: 14,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.80 : 45,695.70 = 9,689.40 : x
  2. Step 2: Convert to fraction form
    30,463.80/45,695.70 = 9,689.40/x
  3. Step 3: Cross multiply
    30,463.80x = 45,695.70 × 9,689.40
  4. Step 4: Simplify right side
    30,463.80x = 442,763,915.58
  5. Step 5: Solve for x
    x = 442,763,915.58/30,463.80
  6. Step 6: Final answer
    x = 14,534.10

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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.