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Finding the Fourth Proportional to 30,948.21, 46,423.22 and 7,574.63

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Solution

The fourth proportional to 30,948.21, 46,423.22 and 7,574.63 is: 11,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.21 : 46,423.22 = 7,574.63 : x
  2. Step 2: Convert to fraction form
    30,948.21/46,423.22 = 7,574.63/x
  3. Step 3: Cross multiply
    30,948.21x = 46,423.22 × 7,574.63
  4. Step 4: Simplify right side
    30,948.21x = 351,638,444.92
  5. Step 5: Solve for x
    x = 351,638,444.92/30,948.21
  6. Step 6: Final answer
    x = 11,362.16

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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.