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Finding the Fourth Proportional to 14,114.93, 19,478.54 and 7,827.30

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Solution

The fourth proportional to 14,114.93, 19,478.54 and 7,827.30 is: 10,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.93 : 19,478.54 = 7,827.30 : x
  2. Step 2: Convert to fraction form
    14,114.93/19,478.54 = 7,827.30/x
  3. Step 3: Cross multiply
    14,114.93x = 19,478.54 × 7,827.30
  4. Step 4: Simplify right side
    14,114.93x = 152,464,395.71
  5. Step 5: Solve for x
    x = 152,464,395.71/14,114.93
  6. Step 6: Final answer
    x = 10,801.64

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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.