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Finding the Fourth Proportional to 9,034.40, 12,465.08 and 6,202.64

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Solution

The fourth proportional to 9,034.40, 12,465.08 and 6,202.64 is: 8,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.40 : 12,465.08 = 6,202.64 : x
  2. Step 2: Convert to fraction form
    9,034.40/12,465.08 = 6,202.64/x
  3. Step 3: Cross multiply
    9,034.40x = 12,465.08 × 6,202.64
  4. Step 4: Simplify right side
    9,034.40x = 77,316,403.81
  5. Step 5: Solve for x
    x = 77,316,403.81/9,034.40
  6. Step 6: Final answer
    x = 8,558.00

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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.