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Finding the Fourth Proportional to 9,281.50, 12,808.50 and 5,032.63

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Solution

The fourth proportional to 9,281.50, 12,808.50 and 5,032.63 is: 6,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.50 : 12,808.50 = 5,032.63 : x
  2. Step 2: Convert to fraction form
    9,281.50/12,808.50 = 5,032.63/x
  3. Step 3: Cross multiply
    9,281.50x = 12,808.50 × 5,032.63
  4. Step 4: Simplify right side
    9,281.50x = 64,460,441.36
  5. Step 5: Solve for x
    x = 64,460,441.36/9,281.50
  6. Step 6: Final answer
    x = 6,945.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.