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Finding the Fourth Proportional to 9,564.56, 14,347.23 and 2,990.80

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Solution

The fourth proportional to 9,564.56, 14,347.23 and 2,990.80 is: 4,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.56 : 14,347.23 = 2,990.80 : x
  2. Step 2: Convert to fraction form
    9,564.56/14,347.23 = 2,990.80/x
  3. Step 3: Cross multiply
    9,564.56x = 14,347.23 × 2,990.80
  4. Step 4: Simplify right side
    9,564.56x = 42,909,695.48
  5. Step 5: Solve for x
    x = 42,909,695.48/9,564.56
  6. Step 6: Final answer
    x = 4,486.32

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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.