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Finding the Fourth Proportional to 10,057.54, 15,089.10 and 10,057.54

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Solution

The fourth proportional to 10,057.54, 15,089.10 and 10,057.54 is: 15,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.54 : 15,089.10 = 10,057.54 : x
  2. Step 2: Convert to fraction form
    10,057.54/15,089.10 = 10,057.54/x
  3. Step 3: Cross multiply
    10,057.54x = 15,089.10 × 10,057.54
  4. Step 4: Simplify right side
    10,057.54x = 151,759,226.81
  5. Step 5: Solve for x
    x = 151,759,226.81/10,057.54
  6. Step 6: Final answer
    x = 15,089.10

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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.