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Finding the Fourth Proportional to 10,034.76, 13,848.07 and 6,055.11

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Solution

The fourth proportional to 10,034.76, 13,848.07 and 6,055.11 is: 8,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.76 : 13,848.07 = 6,055.11 : x
  2. Step 2: Convert to fraction form
    10,034.76/13,848.07 = 6,055.11/x
  3. Step 3: Cross multiply
    10,034.76x = 13,848.07 × 6,055.11
  4. Step 4: Simplify right side
    10,034.76x = 83,851,587.14
  5. Step 5: Solve for x
    x = 83,851,587.14/10,034.76
  6. Step 6: Final answer
    x = 8,356.11

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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.