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Finding the Fourth Proportional to 25,570, 35,289.84 and 14,394.16

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Solution

The fourth proportional to 25,570, 35,289.84 and 14,394.16 is: 19,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570 : 35,289.84 = 14,394.16 : x
  2. Step 2: Convert to fraction form
    25,570/35,289.84 = 14,394.16/x
  3. Step 3: Cross multiply
    25,570x = 35,289.84 × 14,394.16
  4. Step 4: Simplify right side
    25,570x = 507,967,603.33
  5. Step 5: Solve for x
    x = 507,967,603.33/25,570
  6. Step 6: Final answer
    x = 19,865.76

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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.