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Finding the Fourth Proportional to 4,666.01, 6,999.14 and 1,547.37

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Solution

The fourth proportional to 4,666.01, 6,999.14 and 1,547.37 is: 2,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.01 : 6,999.14 = 1,547.37 : x
  2. Step 2: Convert to fraction form
    4,666.01/6,999.14 = 1,547.37/x
  3. Step 3: Cross multiply
    4,666.01x = 6,999.14 × 1,547.37
  4. Step 4: Simplify right side
    4,666.01x = 10,830,263.13
  5. Step 5: Solve for x
    x = 10,830,263.13/4,666.01
  6. Step 6: Final answer
    x = 2,321.10

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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.