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Finding the Fourth Proportional to 30,822.42, 46,233.95 and 9,762.06

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Solution

The fourth proportional to 30,822.42, 46,233.95 and 9,762.06 is: 14,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.42 : 46,233.95 = 9,762.06 : x
  2. Step 2: Convert to fraction form
    30,822.42/46,233.95 = 9,762.06/x
  3. Step 3: Cross multiply
    30,822.42x = 46,233.95 × 9,762.06
  4. Step 4: Simplify right side
    30,822.42x = 451,338,718.50
  5. Step 5: Solve for x
    x = 451,338,718.50/30,822.42
  6. Step 6: Final answer
    x = 14,643.19

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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.