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Finding the Fourth Proportional to 30,869.40, 46,304.10 and 8,683.50

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Solution

The fourth proportional to 30,869.40, 46,304.10 and 8,683.50 is: 13,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.40 : 46,304.10 = 8,683.50 : x
  2. Step 2: Convert to fraction form
    30,869.40/46,304.10 = 8,683.50/x
  3. Step 3: Cross multiply
    30,869.40x = 46,304.10 × 8,683.50
  4. Step 4: Simplify right side
    30,869.40x = 402,081,652.35
  5. Step 5: Solve for x
    x = 402,081,652.35/30,869.40
  6. Step 6: Final answer
    x = 13,025.25

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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.