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Finding the Fourth Proportional to 10,697.60, 16,024.80 and 6,075.20

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Solution

The fourth proportional to 10,697.60, 16,024.80 and 6,075.20 is: 9,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.60 : 16,024.80 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    10,697.60/16,024.80 = 6,075.20/x
  3. Step 3: Cross multiply
    10,697.60x = 16,024.80 × 6,075.20
  4. Step 4: Simplify right side
    10,697.60x = 97,353,864.96
  5. Step 5: Solve for x
    x = 97,353,864.96/10,697.60
  6. Step 6: Final answer
    x = 9,100.53

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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.