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Finding the Fourth Proportional to 14,312.46, 19,746.48 and 8,645.10

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Solution

The fourth proportional to 14,312.46, 19,746.48 and 8,645.10 is: 11,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.46 : 19,746.48 = 8,645.10 : x
  2. Step 2: Convert to fraction form
    14,312.46/19,746.48 = 8,645.10/x
  3. Step 3: Cross multiply
    14,312.46x = 19,746.48 × 8,645.10
  4. Step 4: Simplify right side
    14,312.46x = 170,710,294.25
  5. Step 5: Solve for x
    x = 170,710,294.25/14,312.46
  6. Step 6: Final answer
    x = 11,927.39

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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.