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Finding the Fourth Proportional to 9,530.44, 14,298 and 7,698.16

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Solution

The fourth proportional to 9,530.44, 14,298 and 7,698.16 is: 11,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.44 : 14,298 = 7,698.16 : x
  2. Step 2: Convert to fraction form
    9,530.44/14,298 = 7,698.16/x
  3. Step 3: Cross multiply
    9,530.44x = 14,298 × 7,698.16
  4. Step 4: Simplify right side
    9,530.44x = 110,068,291.68
  5. Step 5: Solve for x
    x = 110,068,291.68/9,530.44
  6. Step 6: Final answer
    x = 11,549.13

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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.