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Finding the Fourth Proportional to 9,807.66, 14,718.75 and 4,617.18

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Solution

The fourth proportional to 9,807.66, 14,718.75 and 4,617.18 is: 6,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.66 : 14,718.75 = 4,617.18 : x
  2. Step 2: Convert to fraction form
    9,807.66/14,718.75 = 4,617.18/x
  3. Step 3: Cross multiply
    9,807.66x = 14,718.75 × 4,617.18
  4. Step 4: Simplify right side
    9,807.66x = 67,959,118.13
  5. Step 5: Solve for x
    x = 67,959,118.13/9,807.66
  6. Step 6: Final answer
    x = 6,929.19

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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.