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Finding the Fourth Proportional to 10,580.66, 14,603.73 and 6,848.18

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Solution

The fourth proportional to 10,580.66, 14,603.73 and 6,848.18 is: 9,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.66 : 14,603.73 = 6,848.18 : x
  2. Step 2: Convert to fraction form
    10,580.66/14,603.73 = 6,848.18/x
  3. Step 3: Cross multiply
    10,580.66x = 14,603.73 × 6,848.18
  4. Step 4: Simplify right side
    10,580.66x = 100,008,971.71
  5. Step 5: Solve for x
    x = 100,008,971.71/10,580.66
  6. Step 6: Final answer
    x = 9,452.05

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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.