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Finding the Fourth Proportional to 6,490,636.92, 9,736,509.42 and 1,698,322.14

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Solution

The fourth proportional to 6,490,636.92, 9,736,509.42 and 1,698,322.14 is: 2,547,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,636.92 : 9,736,509.42 = 1,698,322.14 : x
  2. Step 2: Convert to fraction form
    6,490,636.92/9,736,509.42 = 1,698,322.14/x
  3. Step 3: Cross multiply
    6,490,636.92x = 9,736,509.42 × 1,698,322.14
  4. Step 4: Simplify right side
    6,490,636.92x = 16,535,729,514,304.56
  5. Step 5: Solve for x
    x = 16,535,729,514,304.56/6,490,636.92
  6. Step 6: Final answer
    x = 2,547,628.18

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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.