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Finding the Fourth Proportional to 6,547.50, 9,820.17 and 2,165.00

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Solution

The fourth proportional to 6,547.50, 9,820.17 and 2,165.00 is: 3,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.50 : 9,820.17 = 2,165.00 : x
  2. Step 2: Convert to fraction form
    6,547.50/9,820.17 = 2,165.00/x
  3. Step 3: Cross multiply
    6,547.50x = 9,820.17 × 2,165.00
  4. Step 4: Simplify right side
    6,547.50x = 21,260,618.95
  5. Step 5: Solve for x
    x = 21,260,618.95/6,547.50
  6. Step 6: Final answer
    x = 3,247.14

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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.