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Finding the Fourth Proportional to 6,547.91, 9,818.15 and 4,470.42

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Solution

The fourth proportional to 6,547.91, 9,818.15 and 4,470.42 is: 6,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.91 : 9,818.15 = 4,470.42 : x
  2. Step 2: Convert to fraction form
    6,547.91/9,818.15 = 4,470.42/x
  3. Step 3: Cross multiply
    6,547.91x = 9,818.15 × 4,470.42
  4. Step 4: Simplify right side
    6,547.91x = 43,891,231.77
  5. Step 5: Solve for x
    x = 43,891,231.77/6,547.91
  6. Step 6: Final answer
    x = 6,703.10

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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.