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Finding the Fourth Proportional to 9,114.84, 13,678.92 and 8,570.52

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Solution

The fourth proportional to 9,114.84, 13,678.92 and 8,570.52 is: 12,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.84 : 13,678.92 = 8,570.52 : x
  2. Step 2: Convert to fraction form
    9,114.84/13,678.92 = 8,570.52/x
  3. Step 3: Cross multiply
    9,114.84x = 13,678.92 × 8,570.52
  4. Step 4: Simplify right side
    9,114.84x = 117,235,457.44
  5. Step 5: Solve for x
    x = 117,235,457.44/9,114.84
  6. Step 6: Final answer
    x = 12,862.04

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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.