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Finding the Fourth Proportional to 14,009.64, 19,332.54 and 7,721.52

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Solution

The fourth proportional to 14,009.64, 19,332.54 and 7,721.52 is: 10,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.64 : 19,332.54 = 7,721.52 : x
  2. Step 2: Convert to fraction form
    14,009.64/19,332.54 = 7,721.52/x
  3. Step 3: Cross multiply
    14,009.64x = 19,332.54 × 7,721.52
  4. Step 4: Simplify right side
    14,009.64x = 149,276,594.26
  5. Step 5: Solve for x
    x = 149,276,594.26/14,009.64
  6. Step 6: Final answer
    x = 10,655.28

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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.