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Finding the Fourth Proportional to 6,101.40, 8,565 and 6,101.40

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Solution

The fourth proportional to 6,101.40, 8,565 and 6,101.40 is: 8,565

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.40 : 8,565 = 6,101.40 : x
  2. Step 2: Convert to fraction form
    6,101.40/8,565 = 6,101.40/x
  3. Step 3: Cross multiply
    6,101.40x = 8,565 × 6,101.40
  4. Step 4: Simplify right side
    6,101.40x = 52,258,491
  5. Step 5: Solve for x
    x = 52,258,491/6,101.40
  6. Step 6: Final answer
    x = 8,565

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.