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Finding the Fourth Proportional to 9,407.60, 12,984.18 and 5,428.16

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Solution

The fourth proportional to 9,407.60, 12,984.18 and 5,428.16 is: 7,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.60 : 12,984.18 = 5,428.16 : x
  2. Step 2: Convert to fraction form
    9,407.60/12,984.18 = 5,428.16/x
  3. Step 3: Cross multiply
    9,407.60x = 12,984.18 × 5,428.16
  4. Step 4: Simplify right side
    9,407.60x = 70,480,206.51
  5. Step 5: Solve for x
    x = 70,480,206.51/9,407.60
  6. Step 6: Final answer
    x = 7,491.84

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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.