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Finding the Fourth Proportional to 13,838.01, 19,095.93 and 7,788.00

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Solution

The fourth proportional to 13,838.01, 19,095.93 and 7,788.00 is: 10,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.01 : 19,095.93 = 7,788.00 : x
  2. Step 2: Convert to fraction form
    13,838.01/19,095.93 = 7,788.00/x
  3. Step 3: Cross multiply
    13,838.01x = 19,095.93 × 7,788.00
  4. Step 4: Simplify right side
    13,838.01x = 148,719,045.13
  5. Step 5: Solve for x
    x = 148,719,045.13/13,838.01
  6. Step 6: Final answer
    x = 10,747.14

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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.