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Finding the Fourth Proportional to 6,970.98, 9,623.68 and 5,374.12

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Solution

The fourth proportional to 6,970.98, 9,623.68 and 5,374.12 is: 7,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.98 : 9,623.68 = 5,374.12 : x
  2. Step 2: Convert to fraction form
    6,970.98/9,623.68 = 5,374.12/x
  3. Step 3: Cross multiply
    6,970.98x = 9,623.68 × 5,374.12
  4. Step 4: Simplify right side
    6,970.98x = 51,718,811.16
  5. Step 5: Solve for x
    x = 51,718,811.16/6,970.98
  6. Step 6: Final answer
    x = 7,419.16

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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.