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Finding the Fourth Proportional to 10,040.01, 13,855.08 and 5,564.01

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Solution

The fourth proportional to 10,040.01, 13,855.08 and 5,564.01 is: 7,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.01 : 13,855.08 = 5,564.01 : x
  2. Step 2: Convert to fraction form
    10,040.01/13,855.08 = 5,564.01/x
  3. Step 3: Cross multiply
    10,040.01x = 13,855.08 × 5,564.01
  4. Step 4: Simplify right side
    10,040.01x = 77,089,803.67
  5. Step 5: Solve for x
    x = 77,089,803.67/10,040.01
  6. Step 6: Final answer
    x = 7,678.26

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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.