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Finding the Fourth Proportional to 7,867.10, 10,856.63 and 4,509.99

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Solution

The fourth proportional to 7,867.10, 10,856.63 and 4,509.99 is: 6,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.10 : 10,856.63 = 4,509.99 : x
  2. Step 2: Convert to fraction form
    7,867.10/10,856.63 = 4,509.99/x
  3. Step 3: Cross multiply
    7,867.10x = 10,856.63 × 4,509.99
  4. Step 4: Simplify right side
    7,867.10x = 48,963,304.01
  5. Step 5: Solve for x
    x = 48,963,304.01/7,867.10
  6. Step 6: Final answer
    x = 6,223.80

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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.