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Finding the Fourth Proportional to 6,547.84, 9,818.69 and 2,384.91

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Solution

The fourth proportional to 6,547.84, 9,818.69 and 2,384.91 is: 3,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.84 : 9,818.69 = 2,384.91 : x
  2. Step 2: Convert to fraction form
    6,547.84/9,818.69 = 2,384.91/x
  3. Step 3: Cross multiply
    6,547.84x = 9,818.69 × 2,384.91
  4. Step 4: Simplify right side
    6,547.84x = 23,416,680.04
  5. Step 5: Solve for x
    x = 23,416,680.04/6,547.84
  6. Step 6: Final answer
    x = 3,576.25

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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.