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Finding the Fourth Proportional to 7,646.48, 10,547.67 and 4,809.38

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Solution

The fourth proportional to 7,646.48, 10,547.67 and 4,809.38 is: 6,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.48 : 10,547.67 = 4,809.38 : x
  2. Step 2: Convert to fraction form
    7,646.48/10,547.67 = 4,809.38/x
  3. Step 3: Cross multiply
    7,646.48x = 10,547.67 × 4,809.38
  4. Step 4: Simplify right side
    7,646.48x = 50,727,753.14
  5. Step 5: Solve for x
    x = 50,727,753.14/7,646.48
  6. Step 6: Final answer
    x = 6,634.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.