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Finding the Fourth Proportional to 9,570.34, 14,362.53 and 6,282.28

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Solution

The fourth proportional to 9,570.34, 14,362.53 and 6,282.28 is: 9,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.34 : 14,362.53 = 6,282.28 : x
  2. Step 2: Convert to fraction form
    9,570.34/14,362.53 = 6,282.28/x
  3. Step 3: Cross multiply
    9,570.34x = 14,362.53 × 6,282.28
  4. Step 4: Simplify right side
    9,570.34x = 90,229,434.97
  5. Step 5: Solve for x
    x = 90,229,434.97/9,570.34
  6. Step 6: Final answer
    x = 9,428.03

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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.