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Finding the Fourth Proportional to 10,777, 14,872.47 and 6,528.22

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Solution

The fourth proportional to 10,777, 14,872.47 and 6,528.22 is: 9,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777 : 14,872.47 = 6,528.22 : x
  2. Step 2: Convert to fraction form
    10,777/14,872.47 = 6,528.22/x
  3. Step 3: Cross multiply
    10,777x = 14,872.47 × 6,528.22
  4. Step 4: Simplify right side
    10,777x = 97,090,756.10
  5. Step 5: Solve for x
    x = 97,090,756.10/10,777
  6. Step 6: Final answer
    x = 9,009.07

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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.