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Finding the Fourth Proportional to 9,368.63, 12,934.01 and 6,501.50

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Solution

The fourth proportional to 9,368.63, 12,934.01 and 6,501.50 is: 8,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.63 : 12,934.01 = 6,501.50 : x
  2. Step 2: Convert to fraction form
    9,368.63/12,934.01 = 6,501.50/x
  3. Step 3: Cross multiply
    9,368.63x = 12,934.01 × 6,501.50
  4. Step 4: Simplify right side
    9,368.63x = 84,090,466.02
  5. Step 5: Solve for x
    x = 84,090,466.02/9,368.63
  6. Step 6: Final answer
    x = 8,975.75

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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.