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Finding the Fourth Proportional to 9,509.88, 14,258.72 and 4,569.68

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Solution

The fourth proportional to 9,509.88, 14,258.72 and 4,569.68 is: 6,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.88 : 14,258.72 = 4,569.68 : x
  2. Step 2: Convert to fraction form
    9,509.88/14,258.72 = 4,569.68/x
  3. Step 3: Cross multiply
    9,509.88x = 14,258.72 × 4,569.68
  4. Step 4: Simplify right side
    9,509.88x = 65,157,787.61
  5. Step 5: Solve for x
    x = 65,157,787.61/9,509.88
  6. Step 6: Final answer
    x = 6,851.59

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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.