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Finding the Fourth Proportional to 9,354.75, 14,038.20 and 4,737.75

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Solution

The fourth proportional to 9,354.75, 14,038.20 and 4,737.75 is: 7,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.75 : 14,038.20 = 4,737.75 : x
  2. Step 2: Convert to fraction form
    9,354.75/14,038.20 = 4,737.75/x
  3. Step 3: Cross multiply
    9,354.75x = 14,038.20 × 4,737.75
  4. Step 4: Simplify right side
    9,354.75x = 66,509,482.05
  5. Step 5: Solve for x
    x = 66,509,482.05/9,354.75
  6. Step 6: Final answer
    x = 7,109.70

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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.