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Finding the Fourth Proportional to 9,341.64, 13,970.70 and 8,308.08

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Solution

The fourth proportional to 9,341.64, 13,970.70 and 8,308.08 is: 12,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.64 : 13,970.70 = 8,308.08 : x
  2. Step 2: Convert to fraction form
    9,341.64/13,970.70 = 8,308.08/x
  3. Step 3: Cross multiply
    9,341.64x = 13,970.70 × 8,308.08
  4. Step 4: Simplify right side
    9,341.64x = 116,069,693.26
  5. Step 5: Solve for x
    x = 116,069,693.26/9,341.64
  6. Step 6: Final answer
    x = 12,424.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.