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Finding the Fourth Proportional to 6,547.23, 9,822.47 and 2,164.52

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Solution

The fourth proportional to 6,547.23, 9,822.47 and 2,164.52 is: 3,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.23 : 9,822.47 = 2,164.52 : x
  2. Step 2: Convert to fraction form
    6,547.23/9,822.47 = 2,164.52/x
  3. Step 3: Cross multiply
    6,547.23x = 9,822.47 × 2,164.52
  4. Step 4: Simplify right side
    6,547.23x = 21,260,946.50
  5. Step 5: Solve for x
    x = 21,260,946.50/6,547.23
  6. Step 6: Final answer
    x = 3,247.32

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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.