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Finding the Fourth Proportional to 9,482.96, 14,221.88 and 4,549.20

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Solution

The fourth proportional to 9,482.96, 14,221.88 and 4,549.20 is: 6,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.96 : 14,221.88 = 4,549.20 : x
  2. Step 2: Convert to fraction form
    9,482.96/14,221.88 = 4,549.20/x
  3. Step 3: Cross multiply
    9,482.96x = 14,221.88 × 4,549.20
  4. Step 4: Simplify right side
    9,482.96x = 64,698,176.50
  5. Step 5: Solve for x
    x = 64,698,176.50/9,482.96
  6. Step 6: Final answer
    x = 6,822.57

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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.