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Finding the Fourth Proportional to 16,528, 22,802.16 and 9,450.64

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Solution

The fourth proportional to 16,528, 22,802.16 and 9,450.64 is: 13,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528 : 22,802.16 = 9,450.64 : x
  2. Step 2: Convert to fraction form
    16,528/22,802.16 = 9,450.64/x
  3. Step 3: Cross multiply
    16,528x = 22,802.16 × 9,450.64
  4. Step 4: Simplify right side
    16,528x = 215,495,005.38
  5. Step 5: Solve for x
    x = 215,495,005.38/16,528
  6. Step 6: Final answer
    x = 13,038.18

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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.