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Finding the Fourth Proportional to 9,547.40, 14,324.70 and 4,621.40

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Solution

The fourth proportional to 9,547.40, 14,324.70 and 4,621.40 is: 6,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.40 : 14,324.70 = 4,621.40 : x
  2. Step 2: Convert to fraction form
    9,547.40/14,324.70 = 4,621.40/x
  3. Step 3: Cross multiply
    9,547.40x = 14,324.70 × 4,621.40
  4. Step 4: Simplify right side
    9,547.40x = 66,200,168.58
  5. Step 5: Solve for x
    x = 66,200,168.58/9,547.40
  6. Step 6: Final answer
    x = 6,933.84

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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.