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Finding the Fourth Proportional to 17,575, 24,253.52 and 9,617.16

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Solution

The fourth proportional to 17,575, 24,253.52 and 9,617.16 is: 13,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575 : 24,253.52 = 9,617.16 : x
  2. Step 2: Convert to fraction form
    17,575/24,253.52 = 9,617.16/x
  3. Step 3: Cross multiply
    17,575x = 24,253.52 × 9,617.16
  4. Step 4: Simplify right side
    17,575x = 233,249,982.40
  5. Step 5: Solve for x
    x = 233,249,982.40/17,575
  6. Step 6: Final answer
    x = 13,271.69

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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.