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Finding the Fourth Proportional to 14,332, 19,780.32 and 8,746.24

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Solution

The fourth proportional to 14,332, 19,780.32 and 8,746.24 is: 12,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332 : 19,780.32 = 8,746.24 : x
  2. Step 2: Convert to fraction form
    14,332/19,780.32 = 8,746.24/x
  3. Step 3: Cross multiply
    14,332x = 19,780.32 × 8,746.24
  4. Step 4: Simplify right side
    14,332x = 173,003,426.00
  5. Step 5: Solve for x
    x = 173,003,426.00/14,332
  6. Step 6: Final answer
    x = 12,071.13

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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.