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Finding the Fourth Proportional to 9,407.58, 14,115 and 5,712.48

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Solution

The fourth proportional to 9,407.58, 14,115 and 5,712.48 is: 8,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.58 : 14,115 = 5,712.48 : x
  2. Step 2: Convert to fraction form
    9,407.58/14,115 = 5,712.48/x
  3. Step 3: Cross multiply
    9,407.58x = 14,115 × 5,712.48
  4. Step 4: Simplify right side
    9,407.58x = 80,631,655.20
  5. Step 5: Solve for x
    x = 80,631,655.20/9,407.58
  6. Step 6: Final answer
    x = 8,570.92

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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.