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Finding the Fourth Proportional to 13,802.95, 19,048.66 and 7,835.18

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Solution

The fourth proportional to 13,802.95, 19,048.66 and 7,835.18 is: 10,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.95 : 19,048.66 = 7,835.18 : x
  2. Step 2: Convert to fraction form
    13,802.95/19,048.66 = 7,835.18/x
  3. Step 3: Cross multiply
    13,802.95x = 19,048.66 × 7,835.18
  4. Step 4: Simplify right side
    13,802.95x = 149,249,679.86
  5. Step 5: Solve for x
    x = 149,249,679.86/13,802.95
  6. Step 6: Final answer
    x = 10,812.88

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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.