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Finding the Fourth Proportional to 7,547, 10,414.86 and 4,603

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Solution

The fourth proportional to 7,547, 10,414.86 and 4,603 is: 6,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547 : 10,414.86 = 4,603 : x
  2. Step 2: Convert to fraction form
    7,547/10,414.86 = 4,603/x
  3. Step 3: Cross multiply
    7,547x = 10,414.86 × 4,603
  4. Step 4: Simplify right side
    7,547x = 47,939,600.58
  5. Step 5: Solve for x
    x = 47,939,600.58/7,547
  6. Step 6: Final answer
    x = 6,352.14

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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.