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Finding the Fourth Proportional to 10,316, 14,237.88 and 6,124.16

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Solution

The fourth proportional to 10,316, 14,237.88 and 6,124.16 is: 8,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316 : 14,237.88 = 6,124.16 : x
  2. Step 2: Convert to fraction form
    10,316/14,237.88 = 6,124.16/x
  3. Step 3: Cross multiply
    10,316x = 14,237.88 × 6,124.16
  4. Step 4: Simplify right side
    10,316x = 87,195,055.18
  5. Step 5: Solve for x
    x = 87,195,055.18/10,316
  6. Step 6: Final answer
    x = 8,452.41

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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.