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Finding the Fourth Proportional to 6,547.66, 9,823.03 and 2,165.12

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Solution

The fourth proportional to 6,547.66, 9,823.03 and 2,165.12 is: 3,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.66 : 9,823.03 = 2,165.12 : x
  2. Step 2: Convert to fraction form
    6,547.66/9,823.03 = 2,165.12/x
  3. Step 3: Cross multiply
    6,547.66x = 9,823.03 × 2,165.12
  4. Step 4: Simplify right side
    6,547.66x = 21,268,038.71
  5. Step 5: Solve for x
    x = 21,268,038.71/6,547.66
  6. Step 6: Final answer
    x = 3,248.19

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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.