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Finding the Fourth Proportional to 17,415, 24,032.49 and 9,457.28

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Solution

The fourth proportional to 17,415, 24,032.49 and 9,457.28 is: 13,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415 : 24,032.49 = 9,457.28 : x
  2. Step 2: Convert to fraction form
    17,415/24,032.49 = 9,457.28/x
  3. Step 3: Cross multiply
    17,415x = 24,032.49 × 9,457.28
  4. Step 4: Simplify right side
    17,415x = 227,282,011.64
  5. Step 5: Solve for x
    x = 227,282,011.64/17,415
  6. Step 6: Final answer
    x = 13,050.93

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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.