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Finding the Fourth Proportional to 9,693.84, 13,384.94 and 7,047.57

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Solution

The fourth proportional to 9,693.84, 13,384.94 and 7,047.57 is: 9,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.84 : 13,384.94 = 7,047.57 : x
  2. Step 2: Convert to fraction form
    9,693.84/13,384.94 = 7,047.57/x
  3. Step 3: Cross multiply
    9,693.84x = 13,384.94 × 7,047.57
  4. Step 4: Simplify right side
    9,693.84x = 94,331,266.36
  5. Step 5: Solve for x
    x = 94,331,266.36/9,693.84
  6. Step 6: Final answer
    x = 9,731.05

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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.