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Finding the Fourth Proportional to 10,579.56, 15,875.93 and 9,594.16

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Solution

The fourth proportional to 10,579.56, 15,875.93 and 9,594.16 is: 14,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.56 : 15,875.93 = 9,594.16 : x
  2. Step 2: Convert to fraction form
    10,579.56/15,875.93 = 9,594.16/x
  3. Step 3: Cross multiply
    10,579.56x = 15,875.93 × 9,594.16
  4. Step 4: Simplify right side
    10,579.56x = 152,316,212.57
  5. Step 5: Solve for x
    x = 152,316,212.57/10,579.56
  6. Step 6: Final answer
    x = 14,397.22

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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.