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Finding the Fourth Proportional to 9,482.10, 14,223.93 and 5,782.38

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Solution

The fourth proportional to 9,482.10, 14,223.93 and 5,782.38 is: 8,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.10 : 14,223.93 = 5,782.38 : x
  2. Step 2: Convert to fraction form
    9,482.10/14,223.93 = 5,782.38/x
  3. Step 3: Cross multiply
    9,482.10x = 14,223.93 × 5,782.38
  4. Step 4: Simplify right side
    9,482.10x = 82,248,168.35
  5. Step 5: Solve for x
    x = 82,248,168.35/9,482.10
  6. Step 6: Final answer
    x = 8,674.05

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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.