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Finding the Fourth Proportional to 6,970.95, 10,456.36 and 3,075.36

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Solution

The fourth proportional to 6,970.95, 10,456.36 and 3,075.36 is: 4,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.95 : 10,456.36 = 3,075.36 : x
  2. Step 2: Convert to fraction form
    6,970.95/10,456.36 = 3,075.36/x
  3. Step 3: Cross multiply
    6,970.95x = 10,456.36 × 3,075.36
  4. Step 4: Simplify right side
    6,970.95x = 32,157,071.29
  5. Step 5: Solve for x
    x = 32,157,071.29/6,970.95
  6. Step 6: Final answer
    x = 4,613.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.