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Finding the Fourth Proportional to 10,577.84, 14,585.63 and 7,222.42

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Solution

The fourth proportional to 10,577.84, 14,585.63 and 7,222.42 is: 9,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.84 : 14,585.63 = 7,222.42 : x
  2. Step 2: Convert to fraction form
    10,577.84/14,585.63 = 7,222.42/x
  3. Step 3: Cross multiply
    10,577.84x = 14,585.63 × 7,222.42
  4. Step 4: Simplify right side
    10,577.84x = 105,343,473.25
  5. Step 5: Solve for x
    x = 105,343,473.25/10,577.84
  6. Step 6: Final answer
    x = 9,958.88

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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.