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Finding the Fourth Proportional to 7,110.68, 10,666.08 and 6,575

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Solution

The fourth proportional to 7,110.68, 10,666.08 and 6,575 is: 9,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.68 : 10,666.08 = 6,575 : x
  2. Step 2: Convert to fraction form
    7,110.68/10,666.08 = 6,575/x
  3. Step 3: Cross multiply
    7,110.68x = 10,666.08 × 6,575
  4. Step 4: Simplify right side
    7,110.68x = 70,129,476
  5. Step 5: Solve for x
    x = 70,129,476/7,110.68
  6. Step 6: Final answer
    x = 9,862.56

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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.