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Finding the Fourth Proportional to 19,496, 26,904.48 and 10,664

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Solution

The fourth proportional to 19,496, 26,904.48 and 10,664 is: 14,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496 : 26,904.48 = 10,664 : x
  2. Step 2: Convert to fraction form
    19,496/26,904.48 = 10,664/x
  3. Step 3: Cross multiply
    19,496x = 26,904.48 × 10,664
  4. Step 4: Simplify right side
    19,496x = 286,909,374.72
  5. Step 5: Solve for x
    x = 286,909,374.72/19,496
  6. Step 6: Final answer
    x = 14,716.32

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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.