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Finding the Fourth Proportional to 14,038.32, 19,364.76 and 9,070.32

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Solution

The fourth proportional to 14,038.32, 19,364.76 and 9,070.32 is: 12,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.32 : 19,364.76 = 9,070.32 : x
  2. Step 2: Convert to fraction form
    14,038.32/19,364.76 = 9,070.32/x
  3. Step 3: Cross multiply
    14,038.32x = 19,364.76 × 9,070.32
  4. Step 4: Simplify right side
    14,038.32x = 175,644,569.92
  5. Step 5: Solve for x
    x = 175,644,569.92/14,038.32
  6. Step 6: Final answer
    x = 12,511.79

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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.