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Finding the Fourth Proportional to 30,934.41, 46,410.81 and 9,875.80

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Solution

The fourth proportional to 30,934.41, 46,410.81 and 9,875.80 is: 14,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.41 : 46,410.81 = 9,875.80 : x
  2. Step 2: Convert to fraction form
    30,934.41/46,410.81 = 9,875.80/x
  3. Step 3: Cross multiply
    30,934.41x = 46,410.81 × 9,875.80
  4. Step 4: Simplify right side
    30,934.41x = 458,343,877.40
  5. Step 5: Solve for x
    x = 458,343,877.40/30,934.41
  6. Step 6: Final answer
    x = 14,816.64

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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.