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Finding the Fourth Proportional to 9,475.76, 14,213.76 and 5,315.12

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Solution

The fourth proportional to 9,475.76, 14,213.76 and 5,315.12 is: 7,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.76 : 14,213.76 = 5,315.12 : x
  2. Step 2: Convert to fraction form
    9,475.76/14,213.76 = 5,315.12/x
  3. Step 3: Cross multiply
    9,475.76x = 14,213.76 × 5,315.12
  4. Step 4: Simplify right side
    9,475.76x = 75,547,840.05
  5. Step 5: Solve for x
    x = 75,547,840.05/9,475.76
  6. Step 6: Final answer
    x = 7,972.75

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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.