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Finding the Fourth Proportional to 14,264.17, 19,683.98 and 7,803.71

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Solution

The fourth proportional to 14,264.17, 19,683.98 and 7,803.71 is: 10,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.17 : 19,683.98 = 7,803.71 : x
  2. Step 2: Convert to fraction form
    14,264.17/19,683.98 = 7,803.71/x
  3. Step 3: Cross multiply
    14,264.17x = 19,683.98 × 7,803.71
  4. Step 4: Simplify right side
    14,264.17x = 153,607,934.13
  5. Step 5: Solve for x
    x = 153,607,934.13/14,264.17
  6. Step 6: Final answer
    x = 10,768.80

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1.5x scale

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.