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Finding the Fourth Proportional to 10,407, 14,368.59 and 6,159.42

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Solution

The fourth proportional to 10,407, 14,368.59 and 6,159.42 is: 8,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407 : 14,368.59 = 6,159.42 : x
  2. Step 2: Convert to fraction form
    10,407/14,368.59 = 6,159.42/x
  3. Step 3: Cross multiply
    10,407x = 14,368.59 × 6,159.42
  4. Step 4: Simplify right side
    10,407x = 88,502,180.62
  5. Step 5: Solve for x
    x = 88,502,180.62/10,407
  6. Step 6: Final answer
    x = 8,504.10

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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.