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Finding the Fourth Proportional to 9,064.76, 13,582.08 and 6,419.19

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Solution

The fourth proportional to 9,064.76, 13,582.08 and 6,419.19 is: 9,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.76 : 13,582.08 = 6,419.19 : x
  2. Step 2: Convert to fraction form
    9,064.76/13,582.08 = 6,419.19/x
  3. Step 3: Cross multiply
    9,064.76x = 13,582.08 × 6,419.19
  4. Step 4: Simplify right side
    9,064.76x = 87,185,952.12
  5. Step 5: Solve for x
    x = 87,185,952.12/9,064.76
  6. Step 6: Final answer
    x = 9,618.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.